Pith Number

pith:V5F25Q2A

pith:2014:V5F25Q2AMLVHAWUJXE6CA4MARP

not attested not anchored not stored refs pending

Pfaffian sum formula for the symplectic Grassmannians

Takeshi Ikeda, Tomoo Matsumura

arxiv:1401.3073 v3 · 2014-01-14 · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5F25Q2AMLVHAWUJXE6CA4MARP}

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	2026-05-18T01:46:14.235169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4baec34062ea705a89b93c2071808bddd7ecf67227597d16f8ba8673e19cd1

Aliases

arxiv: 1401.3073 · arxiv_version: 1401.3073v3 · doi: 10.48550/arxiv.1401.3073 · pith_short_12: V5F25Q2AMLVH · pith_short_16: V5F25Q2AMLVHAWUJ · pith_short_8: V5F25Q2A

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/V5F25Q2AMLVHAWUJXE6CA4MARP \
  | 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: af4baec34062ea705a89b93c2071808bddd7ecf67227597d16f8ba8673e19cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466574727a4939f5305a6b8a326b1ba1145c71b8551d75cd007f634260570336",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-14T05:38:21Z",
    "title_canon_sha256": "97295516097d1a45d6afdc1731bd6d8b252f301c770d5a18151f6577bb5e69aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3073",
    "kind": "arxiv",
    "version": 3
  }
}