Pith Number

pith:B5Q3I7JN

pith:2021:B5Q3I7JNZQO2SQO4U65O5TAFSM

not attested not anchored not stored refs pending

Admissible Poisson bialgebras

Chengming Bai, Jiefeng Liu, Jinting Liang

arxiv:2109.10463 v1 · 2021-09-22 · math.QA · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5Q3I7JNZQO2SQO4U65O5TAFSM}

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	2026-07-05T04:40:00.138593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f61b47d2dcc1da941dca7baeecc0593174f68bae24c1bbe22ad4cc0bb1da6e8

Aliases

arxiv: 2109.10463 · arxiv_version: 2109.10463v1 · doi: 10.48550/arxiv.2109.10463 · pith_short_12: B5Q3I7JNZQO2 · pith_short_16: B5Q3I7JNZQO2SQO4 · pith_short_8: B5Q3I7JN

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/B5Q3I7JNZQO2SQO4U65O5TAFSM \
  | 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: 0f61b47d2dcc1da941dca7baeecc0593174f68bae24c1bbe22ad4cc0bb1da6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ec23c701171121db0e877bbd9f35dbc8320127b82b3371dcfc8f26c6df3620",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-09-22T00:33:34Z",
    "title_canon_sha256": "b8e8927221d01f5fecb73d04ff7ca249524c64ae10e19416d535170ae79c883e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10463",
    "kind": "arxiv",
    "version": 1
  }
}