Pith Number

pith:3F4PXHFD

pith:2015:3F4PXHFDBZPKURWJQYTGH6XYKF

not attested not anchored not stored refs pending

The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras

Alimjon Eshmatov, Farkhod Eshmatov, Song Yang, Xiaojun Chen

arxiv:1504.02885 v2 · 2015-04-11 · math.QA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F4PXHFDBZPKURWJQYTGH6XYKF}

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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

Coupled double Poisson brackets

Receipt and verification

First computed	2026-05-18T00:52:24.026664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d978fb9ca30e5eaa46c9862663faf8516dc5bcee87c38bb54929be0437214843

Aliases

arxiv: 1504.02885 · arxiv_version: 1504.02885v2 · doi: 10.48550/arxiv.1504.02885 · pith_short_12: 3F4PXHFDBZPK · pith_short_16: 3F4PXHFDBZPKURWJ · pith_short_8: 3F4PXHFD

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/3F4PXHFDBZPKURWJQYTGH6XYKF \
  | 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: d978fb9ca30e5eaa46c9862663faf8516dc5bcee87c38bb54929be0437214843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb238020cd00f48b11ee1dfb617e0fa7736becf223b99a7fda0b2d9c0d73f256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-04-11T15:10:20Z",
    "title_canon_sha256": "d75a8c9dc6f4db74f5e700f09dccade0398c54ae27047c615600409cba2e7745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02885",
    "kind": "arxiv",
    "version": 2
  }
}