Pith Number

pith:P7BJXOO6

pith:2021:P7BJXOO66UKNHYTINHANFG5KMU

not attested not anchored not stored refs pending

Darboux families and the classification of real four-dimensional indecomposable coboundary Lie bialgebras

D. Wysocki, J. de Lucas

arxiv:2102.05969 v1 · 2021-02-11 · math-ph · math.DG · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7BJXOO66UKNHYTINHANFG5KMU}

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	2026-07-05T06:03:21.042858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc29bb9def514d3e26869c0d29baa65162721150efa56becc57e536131afa7b

Aliases

arxiv: 2102.05969 · arxiv_version: 2102.05969v1 · doi: 10.48550/arxiv.2102.05969 · pith_short_12: P7BJXOO66UKN · pith_short_16: P7BJXOO66UKNHYTI · pith_short_8: P7BJXOO6

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/P7BJXOO66UKNHYTINHANFG5KMU \
  | 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: 7fc29bb9def514d3e26869c0d29baa65162721150efa56becc57e536131afa7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "864c657aa9cd3f7806dd85d85e82638ac06990823599167350494d67118c2d9e",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-02-11T12:26:10Z",
    "title_canon_sha256": "c43b95f72ba98d0e52ae43716a619730cadaa1089fbee89b70353332f9a07277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.05969",
    "kind": "arxiv",
    "version": 1
  }
}