Pith Number

pith:7FGBJ3KW

pith:2016:7FGBJ3KWK2VB3SXU6KF23VJ6NH

not attested not anchored not stored refs pending

Non-commutative formality implies commutative and Lie formality

Bashar Saleh

arxiv:1609.02540 v2 · 2016-09-08 · math.AT · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FGBJ3KWK2VB3SXU6KF23VJ6NH}

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	2026-05-18T00:20:57.237155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94c14ed5656aa1dcaf4f28badd53e69fc4b0da3f6c55d74af3180df6948a00a

Aliases

arxiv: 1609.02540 · arxiv_version: 1609.02540v2 · doi: 10.48550/arxiv.1609.02540 · pith_short_12: 7FGBJ3KWK2VB · pith_short_16: 7FGBJ3KWK2VB3SXU · pith_short_8: 7FGBJ3KW

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/7FGBJ3KWK2VB3SXU6KF23VJ6NH \
  | 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: f94c14ed5656aa1dcaf4f28badd53e69fc4b0da3f6c55d74af3180df6948a00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0ab9536fd449c25e1bf14e5f1b1972c697c3dd0f9cf4a495c1d235ae09bfbb",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-08T19:22:49Z",
    "title_canon_sha256": "b06803c7b9eb86ce22877244f1b319acce3033af666550d97a87d1738dc7a381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02540",
    "kind": "arxiv",
    "version": 2
  }
}