Pith Number

pith:JDUBZJT5

pith:2011:JDUBZJT5TZSK3HZQDOB667PE76

not attested not anchored not stored refs pending

The Bethe Permanent of a Non-Negative Matrix

Pascal O. Vontobel

arxiv:1107.4196 v3 · 2011-07-21 · cs.IT · cs.CC · math-ph · math.CO · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDUBZJT5TZSK3HZQDOB667PE76}

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	2026-05-18T02:21:42.756734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e81ca67d9e64ad9f301b83ef7de4ff9fe55e8d198024c3fff50ec896defb57

Aliases

arxiv: 1107.4196 · arxiv_version: 1107.4196v3 · doi: 10.48550/arxiv.1107.4196 · pith_short_12: JDUBZJT5TZSK · pith_short_16: JDUBZJT5TZSK3HZQ · pith_short_8: JDUBZJT5

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/JDUBZJT5TZSK3HZQDOB667PE76 \
  | 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: 48e81ca67d9e64ad9f301b83ef7de4ff9fe55e8d198024c3fff50ec896defb57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78351b5ac99465541cf0746d9b4a2f2a190d1023b2874fee0eeefa572aa4415",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.CO",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-07-21T08:19:30Z",
    "title_canon_sha256": "f20be8a7545f190838ffdd97d021e531b103a0a7496e1d7b118bcc5b1a83ed9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4196",
    "kind": "arxiv",
    "version": 3
  }
}