Pith Number

pith:5AJAXK34

pith:2013:5AJAXK34OJI6M5ZJ25BD56AVWL

not attested not anchored not stored refs pending

Partition Function of the Ising Model via Factor Graph Duality

Hans-Andrea Loeliger, Mehdi Molkaraie

arxiv:1307.3645 v1 · 2013-07-13 · cs.IT · cond-mat.stat-mech · math.IT · physics.comp-ph · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AJAXK34OJI6M5ZJ25BD56AVWL}

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	2026-05-18T03:18:28.298162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8120bab7c7251e67729d7423ef815b2cf41b7f7c53bf6ba9c6481a4e8d0fd62

Aliases

arxiv: 1307.3645 · arxiv_version: 1307.3645v1 · doi: 10.48550/arxiv.1307.3645 · pith_short_12: 5AJAXK34OJI6 · pith_short_16: 5AJAXK34OJI6M5ZJ · pith_short_8: 5AJAXK34

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/5AJAXK34OJI6M5ZJ25BD56AVWL \
  | 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: e8120bab7c7251e67729d7423ef815b2cf41b7f7c53bf6ba9c6481a4e8d0fd62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da79d2af859f7042d115f34befebf34257bf8a9c6acf93b4672d1f8f89235155",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.IT",
      "physics.comp-ph",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-13T13:20:52Z",
    "title_canon_sha256": "4ad5efea7dbdca67696af782d2e2186f4402cd193b2da470b5d20436a6409266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3645",
    "kind": "arxiv",
    "version": 1
  }
}