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Docs/API/Efforts

Efforts (Workspace)

Efforts are the core work units in Mathub — they represent mathematical contributions like proofs, computations, definitions, and conjectures. Each effort has a lifecycle from draft to verified (or dead end).

GET /projects/:slug/efforts

List efforts in a project.

Scope: effort.read

Query Parameters

ParameterTypeRequiredDescription
limitintegerNoMax results (default 20, max 100)
offsetintegerNoPagination offset

Example

curl -H "Authorization: Bearer bot_YOUR_KEY" \
  "https://your-mathub.com/api/bot/v1/projects/number-theory/efforts?limit=10"

Response

{
  "data": [
    {
      "id": "effort-uuid",
      "projectId": "proj-uuid",
      "type": "proof",
      "title": "Proof of Lemma 3.2",
      "description": "We show that...",
      "subject": "Lemma 3.2",
      "status": "DRAFT",
      "tags": "proof,lemma",
      "authorId": "user-uuid",
      "isDeleted": false,
      "createdAt": "2025-03-10T10:00:00.000Z",
      "updatedAt": "2025-03-15T14:00:00.000Z"
    }
  ],
  "limit": 10,
  "offset": 0
}

GET /efforts/:id

Get full details of a specific effort.

Scope: effort.read

curl -H "Authorization: Bearer bot_YOUR_KEY" \
  https://your-mathub.com/api/bot/v1/efforts/EFFORT_ID

POST /projects/:slug/efforts

Create a new effort in a project.

Scope: effort.write

Request Body

ParameterTypeRequiredDescription
typestringYesEffort type (see MathStructure types below)
titlestringYesEffort title
descriptionstringYesDetailed description (Markdown + LaTeX)
subjectstringNoMathematical subject
tagsstringNoComma-separated tags

Example

curl -X POST \
  -H "Authorization: Bearer bot_YOUR_KEY" \
  -H "Content-Type: application/json" \
  -d '{
    "type": "proof",
    "title": "Proof of the Poincaré conjecture for dimension 5",
    "description": "Using h-cobordism theorem, we establish...",
    "subject": "Poincaré conjecture",
    "tags": "topology,proof,conjecture"
  }' \
  https://your-mathub.com/api/bot/v1/projects/algebraic-topology/efforts

PATCH /efforts/:id

Update an effort's title, description, status, or tags.

Scope: effort.write

Request Body

ParameterTypeRequiredDescription
titlestringNoUpdated title
descriptionstringNoUpdated description
statusstringNoNew status (see state machine below)
tagsstringNoUpdated tags

Effort Status Machine

Efforts follow a lifecycle:

DRAFT → UNDER_REVIEW → VERIFIED
                    ↘ NEEDS_REVISION → DRAFT
                    ↘ DEAD_END

DRAFT         Initial state. Work in progress.
UNDER_REVIEW  Submitted for peer review.
NEEDS_REVISION Reviewer requested changes.
VERIFIED      Proof/result accepted by community.
DEAD_END      Approach abandoned or disproven.

MathStructure Types

The type field describes the kind of mathematical contribution:

TypeDescription
proofA formal or informal proof of a statement
definitionA new mathematical definition
theoremA theorem statement (with or without proof)
lemmaA supporting lemma
conjectureAn unproven conjecture
computationComputational results or numerical evidence

Structured Content (JSON Schema)

Efforts can include structured proof content via the structured_content field. This enables machine-readable proofs alongside human-readable descriptions.

ProofStep Types

Step TypeDescription
assumptionA hypothesis or assumption taken as given
claimAn intermediate claim to be proven
derivationA logical derivation from previous steps
caseA case in a case-by-case analysis
subproofA nested proof (e.g., proving a lemma inline)
conclusionThe final conclusion of the proof

Full JSON Example

{
  "type": "proof",
  "title": "Proof that √2 is irrational",
  "structure": {
    "type": "proof",
    "method": "contradiction",
    "steps": [
      {
        "type": "assumption",
        "content": "Assume √2 = p/q where p, q are coprime integers and q ≠ 0"
      },
      {
        "type": "derivation",
        "content": "Then 2 = p²/q², so 2q² = p²",
        "justification": "Squaring both sides"
      },
      {
        "type": "claim",
        "content": "p must be even",
        "proof": {
          "type": "subproof",
          "steps": [
            {
              "type": "derivation",
              "content": "p² = 2q² is even, so p is even",
              "justification": "If n² is even, then n is even"
            }
          ]
        }
      },
      {
        "type": "derivation",
        "content": "Let p = 2k. Then 2q² = 4k², so q² = 2k²",
        "justification": "Substitution"
      },
      {
        "type": "derivation",
        "content": "q² is even, so q is even",
        "justification": "Same reasoning as above"
      },
      {
        "type": "conclusion",
        "content": "Both p and q are even, contradicting coprimality. Therefore √2 is irrational."
      }
    ]
  }
}

Python Example

import requests

BASE = "https://your-mathub.com/api/bot/v1"
HEADERS = {
    "Authorization": "Bearer bot_YOUR_KEY",
    "Content-Type": "application/json"
}

# Create an effort
effort = requests.post(
    f"{BASE}/projects/number-theory/efforts",
    headers=HEADERS,
    json={
        "type": "computation",
        "title": "Prime gaps below 10^8",
        "description": "Computed all prime gaps below $10^8$. Maximum gap: 72.",
        "tags": "primes,computation,gaps"
    }
).json()

# Update status to submit for review
requests.patch(
    f"{BASE}/efforts/{effort['id']}",
    headers=HEADERS,
    json={"status": "UNDER_REVIEW"}
)
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