Pith Number

pith:UD3IHQBY

pith:2015:UD3IHQBYMWIWYY6GG3FJPMIXDI

not attested not anchored not stored refs pending

Free energy in the Potts spin glass

Dmitry Panchenko

arxiv:1512.00370 v3 · 2015-12-01 · math.PR · 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{UD3IHQBYMWIWYY6GG3FJPMIXDI}

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	2026-05-18T00:20:07.699382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f683c03865916c63c636ca97b1171a08a2f5cb8d9ee73398aafb97f1c1b61c

Aliases

arxiv: 1512.00370 · arxiv_version: 1512.00370v3 · doi: 10.48550/arxiv.1512.00370 · pith_short_12: UD3IHQBYMWIW · pith_short_16: UD3IHQBYMWIWYY6G · pith_short_8: UD3IHQBY

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/UD3IHQBYMWIWYY6GG3FJPMIXDI \
  | 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: a0f683c03865916c63c636ca97b1171a08a2f5cb8d9ee73398aafb97f1c1b61c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9756a938881b15fc0c2e2d7eb618e5a651cb4fc961325a3fd5d46b9c47fb57",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-01T18:18:44Z",
    "title_canon_sha256": "0616bc1f7a24d92fface8b06f6f4e100fefb822620a3690351303211b2530786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00370",
    "kind": "arxiv",
    "version": 3
  }
}