Pith Number

pith:WFF3G5V3

pith:2016:WFF3G5V3YJQQXXEJHVXDAQUBUB

not attested not anchored not stored refs pending

Homological unimodularity and Calabi-Yau condition for Poisson algebras

Guangbin Zhuang, Jiafeng L\"u, Xingting Wang

arxiv:1608.00172 v1 · 2016-07-30 · 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{WFF3G5V3YJQQXXEJHVXDAQUBUB}

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	2026-05-18T00:12:50.889693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14bb376bbc2610bdc893d6e304281a07ef14e5521f76d21b2d91a77257c9352

Aliases

arxiv: 1608.00172 · arxiv_version: 1608.00172v1 · doi: 10.48550/arxiv.1608.00172 · pith_short_12: WFF3G5V3YJQQ · pith_short_16: WFF3G5V3YJQQXXEJ · pith_short_8: WFF3G5V3

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/WFF3G5V3YJQQXXEJHVXDAQUBUB \
  | 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: b14bb376bbc2610bdc893d6e304281a07ef14e5521f76d21b2d91a77257c9352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1873de0aeb544382fba65cb3613ebc1d20d274440d2766bc29d69a1f75e316",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-30T23:49:06Z",
    "title_canon_sha256": "fff3e28ab2630b2649d66a93baa772018fb6ee3d772b6a93ff84fabfc817b124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00172",
    "kind": "arxiv",
    "version": 1
  }
}