Pith Number

pith:AAS52Z3S

pith:2012:AAS52Z3S3KUWQUC4KDDUS32XMI

not attested not anchored not stored refs pending

Zeilberger's Holonomic Ansatz for Pfaffians

Christoph Koutschan, Masao Ishikawa

arxiv:1201.5253 v2 · 2012-01-25 · 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{AAS52Z3S3KUWQUC4KDDUS32XMI}

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	2026-05-18T03:55:35.355274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0025dd6772daa968505c50c7496f57623f6d17f4065d4a22a49462bc05d0e2f3

Aliases

arxiv: 1201.5253 · arxiv_version: 1201.5253v2 · doi: 10.48550/arxiv.1201.5253 · pith_short_12: AAS52Z3S3KUW · pith_short_16: AAS52Z3S3KUWQUC4 · pith_short_8: AAS52Z3S

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/AAS52Z3S3KUWQUC4KDDUS32XMI \
  | 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: 0025dd6772daa968505c50c7496f57623f6d17f4065d4a22a49462bc05d0e2f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5379cb5c2a7af37ff1f64f4da620f6078ee9eed0d70eacf5616cb57755308ede",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-25T12:43:18Z",
    "title_canon_sha256": "767def01508d9320165d622d2c04ecae08a4be0db68180036389eedb02c4dda4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5253",
    "kind": "arxiv",
    "version": 2
  }
}