Pith Number

pith:XRGUVLJI

pith:2012:XRGUVLJIVIYKCYJCHJOIC52IQV

not attested not anchored not stored refs pending

Asymptotics of the partition function of Ising model on inhomogeneous random graphs

Kwabena Doku-Amponsah

arxiv:1203.5823 v2 · 2012-03-26 · math-ph · math.MP · math.PR · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRGUVLJIVIYKCYJCHJOIC52IQV}

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	2026-05-18T00:26:58.103903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4d4aad28aa30a161223a5c8177488575e3c3a8457f8ff1e9c8d7636f38c507

Aliases

arxiv: 1203.5823 · arxiv_version: 1203.5823v2 · doi: 10.48550/arxiv.1203.5823 · pith_short_12: XRGUVLJIVIYK · pith_short_16: XRGUVLJIVIYKCYJC · pith_short_8: XRGUVLJI

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/XRGUVLJIVIYKCYJCHJOIC52IQV \
  | 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: bc4d4aad28aa30a161223a5c8177488575e3c3a8457f8ff1e9c8d7636f38c507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6592d61a7e7ef5ad902d81c1beb0775c833c833e2ce375829301d3a9dbcb36a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-26T21:28:35Z",
    "title_canon_sha256": "19960bb1f703a8e07d6214c2ed7311b894f285e94f387dc450e2cf6696dcdf4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5823",
    "kind": "arxiv",
    "version": 2
  }
}