Pith Number

pith:YVH43TDG

pith:2016:YVH43TDGQ5TRVCQOFMZVFLLNNS

not attested not anchored not stored refs pending

Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane

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

arxiv:1606.02982 v3 · 2016-06-09 · math.CO · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVH43TDGQ5TRVCQOFMZVFLLNNS}

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	2026-05-18T01:01:44.456800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54fcdcc6687671a8a0e2b3352ad6d6cae0efa2e9bcee0b7b1d54386930422f5

Aliases

arxiv: 1606.02982 · arxiv_version: 1606.02982v3 · doi: 10.48550/arxiv.1606.02982 · pith_short_12: YVH43TDGQ5TR · pith_short_16: YVH43TDGQ5TRVCQO · pith_short_8: YVH43TDG

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/YVH43TDGQ5TRVCQOFMZVFLLNNS \
  | 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: c54fcdcc6687671a8a0e2b3352ad6d6cae0efa2e9bcee0b7b1d54386930422f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f77ce29772dae2f501024337f2aebd16625f41eb0cb042774840c99fed642852",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-09T14:56:04Z",
    "title_canon_sha256": "d2a4cb3b8a8604c942f4f4938517f722bc2d97c69d32bdd4b853c55795019e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02982",
    "kind": "arxiv",
    "version": 3
  }
}