Pith Number

pith:73UECXRI

pith:2015:73UECXRIF2JOPPBFULRU7DH7IG

not attested not anchored not stored refs pending

Stable Degeneracies for Ising Models

Andreas Knauf

arxiv:1508.04293 v1 · 2015-08-18 · math-ph · math.CO · 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{73UECXRIF2JOPPBFULRU7DH7IG}

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	2026-05-18T01:18:33.387032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee8415e282e92e7bc25a2e34f8cff41ae013f0ffc079b0da607a3425eebc22c

Aliases

arxiv: 1508.04293 · arxiv_version: 1508.04293v1 · doi: 10.48550/arxiv.1508.04293 · pith_short_12: 73UECXRIF2JO · pith_short_16: 73UECXRIF2JOPPBF · pith_short_8: 73UECXRI

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/73UECXRIF2JOPPBFULRU7DH7IG \
  | 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: fee8415e282e92e7bc25a2e34f8cff41ae013f0ffc079b0da607a3425eebc22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc2e9790b621891ec0c289137cfa582e65709f136186d885c39b53637a818af",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-18T12:29:59Z",
    "title_canon_sha256": "136490a0c9ca6d8f92870dac90d3739179309014fc1a4b2990899a74d8667e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04293",
    "kind": "arxiv",
    "version": 1
  }
}