Pith Number

pith:7ODZIIG5

pith:2012:7ODZIIG5EHEDH6I76IOJ47HMYW

not attested not anchored not stored refs pending

Integrable Combinatorics

Philippe Di Francesco

arxiv:1210.4514 v1 · 2012-10-16 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ODZIIG5EHEDH6I76IOJ47HMYW}

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	2026-05-18T03:43:05.745619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb879420dd21c833f91ff21c9e7cecc5abc954ce21db56de7c8ca7c47ba4d3d3

Aliases

arxiv: 1210.4514 · arxiv_version: 1210.4514v1 · doi: 10.48550/arxiv.1210.4514 · pith_short_12: 7ODZIIG5EHED · pith_short_16: 7ODZIIG5EHEDH6I7 · pith_short_8: 7ODZIIG5

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/7ODZIIG5EHEDH6I76IOJ47HMYW \
  | 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: fb879420dd21c833f91ff21c9e7cecc5abc954ce21db56de7c8ca7c47ba4d3d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df23a0773ef70b76852e91a3567a756459f02af166dd1877f9ef0223eb280ad8",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-16T18:16:00Z",
    "title_canon_sha256": "056eaea82ba18a10ad0768c0d2c5d4f1a92dca92cd84ccbe58081a6f81c322aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4514",
    "kind": "arxiv",
    "version": 1
  }
}