Pith Number

pith:WFTTZRQ4

pith:2011:WFTTZRQ4WPQDEHQE2F5DTPC6FC

not attested not anchored not stored refs pending

Poisson algebras, Weyl algebras and Jacobi pairs

Yucai Su

arxiv:1107.1115 v9 · 2011-07-06 · math.QA · math-ph · math.AC · math.AG · math.MP · 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{WFTTZRQ4WPQDEHQE2F5DTPC6FC}

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	2026-05-18T04:05:47.263546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1673cc61cb3e0321e04d17a39bc5e28b21aaf2b95ab339db0e087516853781d

Aliases

arxiv: 1107.1115 · arxiv_version: 1107.1115v9 · doi: 10.48550/arxiv.1107.1115 · pith_short_12: WFTTZRQ4WPQD · pith_short_16: WFTTZRQ4WPQDEHQE · pith_short_8: WFTTZRQ4

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/WFTTZRQ4WPQDEHQE2F5DTPC6FC \
  | 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: b1673cc61cb3e0321e04d17a39bc5e28b21aaf2b95ab339db0e087516853781d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd0f9c506011c460746d3f22d4927f501b91a345ed9b86a44eaa069e1c3dd770",
    "cross_cats_sorted": [
      "math-ph",
      "math.AC",
      "math.AG",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-07-06T12:55:42Z",
    "title_canon_sha256": "de37c06b743c9ce64fc6af9882ab54049e61a16f37808ec122e2dd87372c806d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1115",
    "kind": "arxiv",
    "version": 9
  }
}