Pith Number

pith:7XHBXECQ

pith:2021:7XHBXECQ4ORHEKEMQR3NS24UMU

not attested not anchored not stored refs pending

Some implications of the Gessel identity

Claire Levaillant

arxiv:2108.10553 v1 · 2021-08-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XHBXECQ4ORHEKEMQR3NS24UMU}

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	2026-07-05T03:08:10.727963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdce1b9050e3a272288c8476d96b94651bc9c0bcfac6636476ab4ed0a38fb050

Aliases

arxiv: 2108.10553 · arxiv_version: 2108.10553v1 · doi: 10.48550/arxiv.2108.10553 · pith_short_12: 7XHBXECQ4ORH · pith_short_16: 7XHBXECQ4ORHEKEM · pith_short_8: 7XHBXECQ

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/7XHBXECQ4ORHEKEMQR3NS24UMU \
  | 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: fdce1b9050e3a272288c8476d96b94651bc9c0bcfac6636476ab4ed0a38fb050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5b2df9e7b782dc582a7ac7ea799ca86212d3228474484af2753b611a4745b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-24T07:40:48Z",
    "title_canon_sha256": "8f65b51d4217e72a507b59bcf8574a378b4194678a47695bbf6336ffe5991d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10553",
    "kind": "arxiv",
    "version": 1
  }
}