Pith Number

pith:2MHCEFJZ

pith:2013:2MHCEFJZQEKV4DWZ3CTX5IWHND

not attested not anchored not stored refs pending

Variational description of Gibbs-non-Gibbs dynamical transitions for spin-flip systems with a Kac-type interaction

Frank den Hollander, Juli\'an Mart\'inez, Roberto Fern\'andez

arxiv:1309.3667 v1 · 2013-09-14 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MHCEFJZQEKV4DWZ3CTX5IWHND}

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	2026-05-18T01:47:41.770182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30e22153981155e0ed9d8a77ea2c768c328c3a20cc88930a296c2ebdaded87a

Aliases

arxiv: 1309.3667 · arxiv_version: 1309.3667v1 · doi: 10.48550/arxiv.1309.3667 · pith_short_12: 2MHCEFJZQEKV · pith_short_16: 2MHCEFJZQEKV4DWZ · pith_short_8: 2MHCEFJZ

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/2MHCEFJZQEKV4DWZ3CTX5IWHND \
  | 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: d30e22153981155e0ed9d8a77ea2c768c328c3a20cc88930a296c2ebdaded87a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be0a4862c5826f57562945a0fee060ff5bff3cc8fb3827f4c54194e2ab8559e",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-14T13:29:31Z",
    "title_canon_sha256": "aeb8325dad8e2d7544172d58d449712256605c4a85b19584e4cd0b547577eabc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3667",
    "kind": "arxiv",
    "version": 1
  }
}