Pith Number

pith:2KWRFJZZ

pith:2006:2KWRFJZZR62TQPFVO3VGXU6DVP

not attested not anchored not stored refs pending

Hamiltonian type Lie bialgebras

Bin Xin, Guang'ai Song, Yucai Su

arxiv:math/0605669 v9 · 2006-05-25 · 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{2KWRFJZZR62TQPFVO3VGXU6DVP}

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	2026-05-18T01:38:24.084856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ad12a7398fb5383cb576ea6bd3c3abe86278ee3e5453d9dc008d585a862e75

Aliases

arxiv: math/0605669 · arxiv_version: math/0605669v9 · doi: 10.48550/arxiv.math/0605669 · pith_short_12: 2KWRFJZZR62T · pith_short_16: 2KWRFJZZR62TQPFV · pith_short_8: 2KWRFJZZ

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/2KWRFJZZR62TQPFVO3VGXU6DVP \
  | 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: d2ad12a7398fb5383cb576ea6bd3c3abe86278ee3e5453d9dc008d585a862e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577c7aacaf435765d3788dc962409e8bb00807309ec247ae61c14e606710f485",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2006-05-25T22:52:12Z",
    "title_canon_sha256": "0e6c02fd7e8af72f7b6ae83135ecd6a1ebe06feb1bc1e48b0e341f1605651a48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605669",
    "kind": "arxiv",
    "version": 9
  }
}