Pith Number

pith:PTVA63AD

pith:2004:PTVA63ADY22SRLSBI7R2DZKHJD

not attested not anchored not stored refs pending

Comparison of Poisson structures and Poisson-Lie dynamical r-matrices

B. Enriquez, I. Marshall, P. Etingof

arxiv:math/0412342 v3 · 2004-12-17 · math.QA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTVA63ADY22SRLSBI7R2DZKHJD}

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	2026-05-18T00:06:16.611582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cea0f6c03c6b528ae4147e3a1e54748e90dba99cacb3b5f3c22e7255bef5353

Aliases

arxiv: math/0412342 · arxiv_version: math/0412342v3 · doi: 10.48550/arxiv.math/0412342 · pith_short_12: PTVA63ADY22S · pith_short_16: PTVA63ADY22SRLSB · pith_short_8: PTVA63AD

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/PTVA63ADY22SRLSBI7R2DZKHJD \
  | 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: 7cea0f6c03c6b528ae4147e3a1e54748e90dba99cacb3b5f3c22e7255bef5353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a53854fc976aabc923238a9d82d343e5b5e5d5cecab1919af3916248e0eb8a8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2004-12-17T12:56:37Z",
    "title_canon_sha256": "5e1a5052705f7bfe02f37a7f30b58d7ce52d849bf6447758338ff847121ac463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412342",
    "kind": "arxiv",
    "version": 3
  }
}