Pith Number

pith:GBI3TT5N

pith:2005:GBI3TT5NJRDG6KOLBRITJLR6XX

not attested not anchored not stored refs pending

Transitive Hall sets

G\'erard Henry Edmond Duchamp (LIPN), Jean-Gabriel Luque (IGM), Marianne Deboysson-Flouret (LIH)

arxiv:math/0507032 v1 · 2005-07-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBI3TT5NJRDG6KOLBRITJLR6XX}

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	2026-05-18T01:08:51.020929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3051b9cfad4c466f29cb0c5134ae3ebdf2211aeb67e2c143beacb61201a5a5cb

Aliases

arxiv: math/0507032 · arxiv_version: math/0507032v1 · doi: 10.48550/arxiv.math/0507032 · pith_short_12: GBI3TT5NJRDG · pith_short_16: GBI3TT5NJRDG6KOL · pith_short_8: GBI3TT5N

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/GBI3TT5NJRDG6KOLBRITJLR6XX \
  | 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: 3051b9cfad4c466f29cb0c5134ae3ebdf2211aeb67e2c143beacb61201a5a5cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f053c626bcab2dd3c8409749f09cabb9a802c4f0dbf08495b2705e18c146669",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-07-02T05:46:50Z",
    "title_canon_sha256": "91a3b23251145f2a369fc6d7f4d118bb429344f284e15cfa3a8512bcae658475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507032",
    "kind": "arxiv",
    "version": 1
  }
}