Pith Number

pith:ILB4ZOMF

pith:2005:ILB4ZOMFYYQM4UAMNPNA43KTKE

not attested not anchored not stored refs pending

The Extended Variational Principle for Mean-Field, Classical Spin Systems

Eugene Kritchevski, Shannon Starr

arxiv:math-ph/0505001 v1 · 2005-04-30 · math-ph · 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{ILB4ZOMFYYQM4UAMNPNA43KTKE}

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	2026-05-18T04:14:46.458560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c3ccb985c620ce500c6bda0e6d535124665185f30ecd89caa77b5c6c8b22ee

Aliases

arxiv: math-ph/0505001 · arxiv_version: math-ph/0505001v1 · doi: 10.48550/arxiv.math-ph/0505001 · pith_short_12: ILB4ZOMFYYQM · pith_short_16: ILB4ZOMFYYQM4UAM · pith_short_8: ILB4ZOMF

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/ILB4ZOMFYYQM4UAMNPNA43KTKE \
  | 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: 42c3ccb985c620ce500c6bda0e6d535124665185f30ecd89caa77b5c6c8b22ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14463a257722f4eef5435ccc79baa0aeeecffcfa1a3c43d1e9eee307051b1bde",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-04-30T02:14:08Z",
    "title_canon_sha256": "aa884bf8fc079fd102c5fb9300513a92ea7492e053322821ae7034ec2ad64b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0505001",
    "kind": "arxiv",
    "version": 1
  }
}