Pith Number

pith:5BHZU433

pith:2016:5BHZU433P7S2ZQKHSKNYRX3JLL

not attested not anchored not stored refs pending

Dual Hodge decompositions and derived Poisson brackets

Ajay C. Ramadoss, Yining Zhang, Yuri Berest

arxiv:1605.01962 v1 · 2016-05-06 · math.QA · math.AT · 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{5BHZU433P7S2ZQKHSKNYRX3JLL}

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	2026-05-18T01:15:30.797833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84f9a737b7fe5acc147929b88df695afe5fe795910de17dce0d20ac46a49f68

Aliases

arxiv: 1605.01962 · arxiv_version: 1605.01962v1 · doi: 10.48550/arxiv.1605.01962 · pith_short_12: 5BHZU433P7S2 · pith_short_16: 5BHZU433P7S2ZQKH · pith_short_8: 5BHZU433

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/5BHZU433P7S2ZQKHSKNYRX3JLL \
  | 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: e84f9a737b7fe5acc147929b88df695afe5fe795910de17dce0d20ac46a49f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b936f233ee2292af6d8b1f163bc2a4d812cfbef56c28ef53df1accebb58d4c",
    "cross_cats_sorted": [
      "math.AT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-05-06T15:06:32Z",
    "title_canon_sha256": "8987138f19de15e8ee890d5c4cad3e686de9841ef2f746c2764eca2548de5fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01962",
    "kind": "arxiv",
    "version": 1
  }
}