Pith Number

pith:P7YJ7PCE

pith:2009:P7YJ7PCEA77PYYRV5UJBK45QBK

not attested not anchored not stored refs pending

Towards a human proof of Gessel's conjecture

Arvind Ayyer

arxiv:0902.2329 v1 · 2009-02-13 · 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{P7YJ7PCEA77PYYRV5UJBK45QBK}

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	2026-05-18T04:24:04.336877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff09fbc4407fefc6235ed121573b00aaac72a7f616b53dd7ce9f1adc73eacb9

Aliases

arxiv: 0902.2329 · arxiv_version: 0902.2329v1 · doi: 10.48550/arxiv.0902.2329 · pith_short_12: P7YJ7PCEA77P · pith_short_16: P7YJ7PCEA77PYYRV · pith_short_8: P7YJ7PCE

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/P7YJ7PCEA77PYYRV5UJBK45QBK \
  | 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: 7ff09fbc4407fefc6235ed121573b00aaac72a7f616b53dd7ce9f1adc73eacb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b1da4ced07b77403dbb82b68f56a7c64649c2fb7b886eb6e83f73b44f78270",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-13T15:37:27Z",
    "title_canon_sha256": "b789f996f9fc0eacd56c84b3ae8c7e3839036042270ec3effd3f91715b6e17c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2329",
    "kind": "arxiv",
    "version": 1
  }
}