Pith Number

pith:UWW3SQ7L

pith:2015:UWW3SQ7L4RYQPO33JCMHSGYC7N

not attested not anchored not stored refs pending

Free energy in the mixed p-spin models with vector spins

Dmitry Panchenko

arxiv:1512.04441 v2 · 2015-12-14 · 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{UWW3SQ7L4RYQPO33JCMHSGYC7N}

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	2026-05-18T00:20:07.692659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5adb943ebe47107bb7b4898791b02fb4d4c79fbd0a69917c251413321617658

Aliases

arxiv: 1512.04441 · arxiv_version: 1512.04441v2 · doi: 10.48550/arxiv.1512.04441 · pith_short_12: UWW3SQ7L4RYQ · pith_short_16: UWW3SQ7L4RYQPO33 · pith_short_8: UWW3SQ7L

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/UWW3SQ7L4RYQPO33JCMHSGYC7N \
  | 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: a5adb943ebe47107bb7b4898791b02fb4d4c79fbd0a69917c251413321617658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78acac81aa7b72fc07f153564e4cc349646e207005365498c95053d5eec85e35",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-14T18:18:44Z",
    "title_canon_sha256": "01e658b6183a0f2509437a0ce435bfa813533f1d9073f6a44576428f794e0e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04441",
    "kind": "arxiv",
    "version": 2
  }
}