Pith Number

pith:FPFJFPR2

pith:2025:FPFJFPR2MI74P7Z2EILMI6G4SP

not attested not anchored not stored refs pending

Shifted double Poisson structures and noncommutative Poisson extensions

Hu Zhao, Jieheng Zeng, Leilei Liu

arxiv:2510.27299 v2 · 2025-10-31 · math.RT · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPFJFPR2MI74P7Z2EILMI6G4SP}

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

Coupled double Poisson brackets

Receipt and verification

First computed	2026-06-05T01:14:30.443577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bca92be3a623fc7ff3a2216c478dc93d2a43fb3ef4c231a4c7116d92b98ee42

Aliases

arxiv: 2510.27299 · arxiv_version: 2510.27299v2 · doi: 10.48550/arxiv.2510.27299 · pith_short_12: FPFJFPR2MI74 · pith_short_16: FPFJFPR2MI74P7Z2 · pith_short_8: FPFJFPR2

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/FPFJFPR2MI74P7Z2EILMI6G4SP \
  | 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: 2bca92be3a623fc7ff3a2216c478dc93d2a43fb3ef4c231a4c7116d92b98ee42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85deb747ea48216c25e13db9625012fc7391c3f87f9f8e063f7de63938c3d012",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-10-31T09:15:52Z",
    "title_canon_sha256": "6962b7a520d731e26bf97e5f9159ec9c828273c7488a8af062d4711138884b05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.27299",
    "kind": "arxiv",
    "version": 2
  }
}