Pith Number

pith:BTYUZOAT

pith:2013:BTYUZOATK7FTYND4Q3GRPNI7AI

not attested not anchored not stored refs pending

Free-energy bounds for hierarchical spin models

Adriano Barra, Francesco Guerra, Michele Castellana

arxiv:1312.2528 v2 · 2013-12-09 · math-ph · cond-mat.dis-nn · 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{BTYUZOATK7FTYND4Q3GRPNI7AI}

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	2026-05-18T02:43:24.219451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cf14cb81357cb3c347c86cd17b51f02187a6bd055fa72a908ca5de1d8974a68

Aliases

arxiv: 1312.2528 · arxiv_version: 1312.2528v2 · doi: 10.48550/arxiv.1312.2528 · pith_short_12: BTYUZOATK7FT · pith_short_16: BTYUZOATK7FTYND4 · pith_short_8: BTYUZOAT

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/BTYUZOATK7FTYND4Q3GRPNI7AI \
  | 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: 0cf14cb81357cb3c347c86cd17b51f02187a6bd055fa72a908ca5de1d8974a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61254d3e073ba673e409b7ea58fd68b8a276f1941fa980ba141c96e069dca29e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-09T18:03:02Z",
    "title_canon_sha256": "e9cc629e213dbbd4c88a4f86333fb0bd4054f9c72b2d2c90583a8e0e104adbf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2528",
    "kind": "arxiv",
    "version": 2
  }
}