Pith Number

pith:56IETYZY

pith:2011:56IETYZYAY2UAGGWBQADJJUJLX

not attested not anchored not stored refs pending

Explicit formula for the generating series of diagonal 3D rook paths

Alin Bostan, Fr\'ed\'eric Chyzak, Lucien Pech, Mark van Hoeij

arxiv:1105.4456 v2 · 2011-05-23 · cs.SC · cs.DM · 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{56IETYZYAY2UAGGWBQADJJUJLX}

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	2026-05-18T04:12:00.565216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9049e33806354018d60c0034a6895de074108b7e6a52d52f1df8928fc99483

Aliases

arxiv: 1105.4456 · arxiv_version: 1105.4456v2 · doi: 10.48550/arxiv.1105.4456 · pith_short_12: 56IETYZYAY2U · pith_short_16: 56IETYZYAY2UAGGW · pith_short_8: 56IETYZY

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/56IETYZYAY2UAGGWBQADJJUJLX \
  | 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: ef9049e33806354018d60c0034a6895de074108b7e6a52d52f1df8928fc99483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232c2654b4036f35a4ec0c430d70d3dd85cff8996b2220c033400c3f78f2b39a",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-05-23T10:12:12Z",
    "title_canon_sha256": "d5032c886c4a61eaece67bf5b53cd3dbc8c3aa92802e4837a5be36c171e2c14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4456",
    "kind": "arxiv",
    "version": 2
  }
}