Pith Number

pith:MRU7TY3Q

pith:2013:MRU7TY3QLAZPKN2ZW3CUKQTYCJ

not attested not anchored not stored refs pending

A one-parameter generalization of Pfaffians

Jiang Zeng, Masao Ishikawa, Theresia Eisenk\"olbl

arxiv:1311.6691 v1 · 2013-11-26 · 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{MRU7TY3QLAZPKN2ZW3CUKQTYCJ}

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	2026-05-18T03:06:12.040810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6469f9e3705832f53759b6c5454278126105b59dd74e2efb99b57b1ce928d39c

Aliases

arxiv: 1311.6691 · arxiv_version: 1311.6691v1 · doi: 10.48550/arxiv.1311.6691 · pith_short_12: MRU7TY3QLAZP · pith_short_16: MRU7TY3QLAZPKN2Z · pith_short_8: MRU7TY3Q

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/MRU7TY3QLAZPKN2ZW3CUKQTYCJ \
  | 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: 6469f9e3705832f53759b6c5454278126105b59dd74e2efb99b57b1ce928d39c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f72f56f8e687720c27534956c15df25beff7bff5c1b72c3a40694c7359b4683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-26T14:48:36Z",
    "title_canon_sha256": "cd5b17de5c4c20c6423a685be8e789689bf2377e8dba5f6c87c9f71b176aa479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6691",
    "kind": "arxiv",
    "version": 1
  }
}