Pith Number

pith:W7XDSIJF

pith:2015:W7XDSIJFXEV2ZTI7XZIBC5HWNR

not attested not anchored not stored refs pending

Bounding the Bethe and the Degree-$M$ Bethe Permanents

Martin Haenggi, Roxana Smarandache

arxiv:1503.02217 v1 · 2015-03-07 · 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{W7XDSIJFXEV2ZTI7XZIBC5HWNR}

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	2026-05-18T02:25:25.585541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ee392125b92baccd1fbe501174f66c4f320a1d4b7fb7664a342113ac83c92f

Aliases

arxiv: 1503.02217 · arxiv_version: 1503.02217v1 · doi: 10.48550/arxiv.1503.02217 · pith_short_12: W7XDSIJFXEV2 · pith_short_16: W7XDSIJFXEV2ZTI7 · pith_short_8: W7XDSIJF

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/W7XDSIJFXEV2ZTI7XZIBC5HWNR \
  | 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: b7ee392125b92baccd1fbe501174f66c4f320a1d4b7fb7664a342113ac83c92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb70d7160ea7e766bbb3844fc6c6d1c7f4711d4ae20de8cb62047f7c0e83daee",
    "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": "2015-03-07T21:55:43Z",
    "title_canon_sha256": "2baf51491cf632a0556f8ac8dabf7b567bf9002aa8314982cf3f0447d579f41b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02217",
    "kind": "arxiv",
    "version": 1
  }
}