Pith Number

pith:YTZ2XYEF

pith:2011:YTZ2XYEF5HJ3NOD3O2P6NTH4LB

not attested not anchored not stored refs pending

X = K under review

Cedric Lecouvey, Mark Shimozono, Masato Okado

arxiv:1105.1627 v1 · 2011-05-09 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTZ2XYEF5HJ3NOD3O2P6NTH4LB}

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	2026-05-18T04:22:32.782737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f3abe085e9d3b6b87b769fe6ccfc585091ab99464eb3fab0670d23e368e080

Aliases

arxiv: 1105.1627 · arxiv_version: 1105.1627v1 · doi: 10.48550/arxiv.1105.1627 · pith_short_12: YTZ2XYEF5HJ3 · pith_short_16: YTZ2XYEF5HJ3NOD3 · pith_short_8: YTZ2XYEF

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/YTZ2XYEF5HJ3NOD3O2P6NTH4LB \
  | 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: c4f3abe085e9d3b6b87b769fe6ccfc585091ab99464eb3fab0670d23e368e080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28534cf50396922f6035a38deb4cd902662bd89bfa4b65f2fa14b640ec5b2449",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-05-09T10:51:18Z",
    "title_canon_sha256": "cf95e6fed94b494a37239024135b39f081c60c98bf0fe61b87c54843779a1260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1627",
    "kind": "arxiv",
    "version": 1
  }
}