Pith Number

pith:HHVVSBOG

pith:2015:HHVVSBOG5HLEZZ5YN7QMONZVYZ

not attested not anchored not stored refs pending

Quantum permanents and Hafnians via Pfaffians

Jian Zhang, Naihuan Jing

arxiv:1504.01538 v2 · 2015-04-07 · math.QA · math-ph · math.CO · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHVVSBOG5HLEZZ5YN7QMONZVYZ}

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	2026-05-18T01:07:49.089803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39eb5905c6e9d64ce7b86fe0c73735c67b55c39394374de8dfe3308c6039070c

Aliases

arxiv: 1504.01538 · arxiv_version: 1504.01538v2 · doi: 10.48550/arxiv.1504.01538 · pith_short_12: HHVVSBOG5HLE · pith_short_16: HHVVSBOG5HLEZZ5Y · pith_short_8: HHVVSBOG

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/HHVVSBOG5HLEZZ5YN7QMONZVYZ \
  | 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: 39eb5905c6e9d64ce7b86fe0c73735c67b55c39394374de8dfe3308c6039070c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b5d2e8fb9b3512a3cccb7f00db2b9fa2c532f984d06ecf7b02932fabf53f1d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-04-07T09:50:54Z",
    "title_canon_sha256": "5ffa045d70e78119fcca439287dca909001fce5f1bedd0ee48d71938a20fd8b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01538",
    "kind": "arxiv",
    "version": 2
  }
}