Pith Number

pith:FPFJGY6Y

pith:1999:FPFJGY6YO6GAJOYBB42IT25DRY

not attested not anchored not stored refs pending

Homotopy Algebras are Homotopy Algebras

Martin Markl

arxiv:math/9907138 v3 · 1999-07-22 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPFJGY6YO6GAJOYBB42IT25DRY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Full S-matrices and Witten diagrams with (relative) L-infinity algebras

Receipt and verification

First computed	2026-07-04T14:41:14.806395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bca9363d8778c04bb010f3489eba38e0b4809804ae6ffa272ad2fa08cf9a067

Aliases

arxiv: math/9907138 · arxiv_version: math/9907138v3 · doi: 10.48550/arxiv.math/9907138 · pith_short_12: FPFJGY6YO6GA · pith_short_16: FPFJGY6YO6GAJOYB · pith_short_8: FPFJGY6Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FPFJGY6YO6GAJOYBB42IT25DRY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2bca9363d8778c04bb010f3489eba38e0b4809804ae6ffa272ad2fa08cf9a067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212ca561934c6ef4e2c519f577996e361278a358c3833e27fa2e1f6aef3ce093",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "1999-07-22T12:36:29Z",
    "title_canon_sha256": "a0de36027d15a405263dadc565b19715fe83aa9a1283eadb75869763fddcac9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907138",
    "kind": "arxiv",
    "version": 3
  }
}