Pith Number

pith:4WO2DGGG

pith:2015:4WO2DGGGEXTDXTHUZJ6QHUQJQC

not attested not anchored not stored refs pending

Uniqueness and intrinsic properties of non-commutative Koszul brackets

Marco Manetti

arxiv:1512.05480 v2 · 2015-12-17 · math.QA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WO2DGGGEXTDXTHUZJ6QHUQJQC}

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	2026-05-18T00:22:53.110751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59da198c625e63bccf4ca7d03d209809831e9cb396b205e8b1532b7b063bf01

Aliases

arxiv: 1512.05480 · arxiv_version: 1512.05480v2 · doi: 10.48550/arxiv.1512.05480 · pith_short_12: 4WO2DGGGEXTD · pith_short_16: 4WO2DGGGEXTDXTHU · pith_short_8: 4WO2DGGG

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/4WO2DGGGEXTDXTHUZJ6QHUQJQC \
  | 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: e59da198c625e63bccf4ca7d03d209809831e9cb396b205e8b1532b7b063bf01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49e4fb4a3c5473c2dcb31090659159e44e66865200906a1f75cc633f5002660c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-12-17T06:48:22Z",
    "title_canon_sha256": "8f3934e03caa15ce31644a4a02badb3b3f2a40e9720dcb298ebff978c33817db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05480",
    "kind": "arxiv",
    "version": 2
  }
}