Pith Number

pith:3K7V7V7G

pith:2014:3K7V7V7GYWABVPLC6MA4PGJJ3J

not attested not anchored not stored refs pending

Homotopy theory of homotopy algebras

Bruno Vallette

arxiv:1411.5533 v3 · 2014-11-20 · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K7V7V7GYWABVPLC6MA4PGJJ3J}

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.

Receipt and verification

First computed	2026-05-18T01:21:13.671695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dabf5fd7e6c5801abd62f301c79929da6a761938038d8a966af22ff5a9cd62ff

Aliases

arxiv: 1411.5533 · arxiv_version: 1411.5533v3 · doi: 10.48550/arxiv.1411.5533 · pith_short_12: 3K7V7V7GYWAB · pith_short_16: 3K7V7V7GYWABVPLC · pith_short_8: 3K7V7V7G

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/3K7V7V7GYWABVPLC6MA4PGJJ3J \
  | 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: dabf5fd7e6c5801abd62f301c79929da6a761938038d8a966af22ff5a9cd62ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50abd36bb19e23d50292c98b0f8668ac96bb15af691fc1a83296c330644eb023",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-20T13:03:42Z",
    "title_canon_sha256": "f9502b976525238ab3d34b0d55a8d70fc0d81b4ce62ce3f3835dcb8832a1e38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5533",
    "kind": "arxiv",
    "version": 3
  }
}