Pith Number

pith:QF2ZRNG5

pith:2015:QF2ZRNG5HUUON2UZ7Y2P23WFEM

not attested not anchored not stored refs pending

The classical mutual information in mean-field spin glass models

Lode Pollet, Stephen Inglis, Vincenzo Alba

arxiv:1507.01274 v2 · 2015-07-05 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QF2ZRNG5HUUON2UZ7Y2P23WFEM}

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	2026-05-18T01:16:26.330739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817598b4dd3d28e6ea99fe34fd6ec5231abd6a5a2412f207d54ba92449696a65

Aliases

arxiv: 1507.01274 · arxiv_version: 1507.01274v2 · doi: 10.48550/arxiv.1507.01274 · pith_short_12: QF2ZRNG5HUUO · pith_short_16: QF2ZRNG5HUUON2UZ · pith_short_8: QF2ZRNG5

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/QF2ZRNG5HUUON2UZ7Y2P23WFEM \
  | 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: 817598b4dd3d28e6ea99fe34fd6ec5231abd6a5a2412f207d54ba92449696a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f2d36034364119be6ebe2a74e2fd9739ecf3ab7db8c38c689dbe36d6ac90f0",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-05T20:56:01Z",
    "title_canon_sha256": "0c7b76f10eb4a7c666dde7342a5fc5845329446cc108a42e28fe8e80a2c85ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01274",
    "kind": "arxiv",
    "version": 2
  }
}