Pith Number

pith:GYAYNFTZ

pith:2004:GYAYNFTZKPISC7TMF76CWVMDPG

not attested not anchored not stored refs pending

Why Delannoy numbers?

Cyril Banderier (LIPN), Sylviane Schwer (LIPN)

arxiv:math/0411128 v1 · 2004-11-06 · math.CO · cs.DS · cs.GT · math.HO · math.PR · math.ST · q-bio.GN · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYAYNFTZKPISC7TMF76CWVMDPG}

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	2026-05-18T02:53:42.118013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360186967953d1217e6c2ffc2b558379bc20cd98833cb6dae34c36800a8c0a47

Aliases

arxiv: math/0411128 · arxiv_version: math/0411128v1 · doi: 10.48550/arxiv.math/0411128 · pith_short_12: GYAYNFTZKPIS · pith_short_16: GYAYNFTZKPISC7TM · pith_short_8: GYAYNFTZ

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/GYAYNFTZKPISC7TMF76CWVMDPG \
  | 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: 360186967953d1217e6c2ffc2b558379bc20cd98833cb6dae34c36800a8c0a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ecb366b9e68442d94802df1e9615a5c84a30762d612c943f082a41b31d612e",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.GT",
      "math.HO",
      "math.PR",
      "math.ST",
      "q-bio.GN",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-11-06T07:40:07Z",
    "title_canon_sha256": "72920ad993beb54d3699be6b94866151735a994711da17dc500000081bd4b8c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411128",
    "kind": "arxiv",
    "version": 1
  }
}