Pith Number

pith:GN7L2TWJ

pith:2012:GN7L2TWJSRSJL5UWYR6ODQPNIU

not attested not anchored not stored refs pending

On the prevalence of non-Gibbsian states in mathematical physics

A.C.D. van Enter

arxiv:1204.5935 v1 · 2012-04-26 · math-ph · cond-mat.stat-mech · 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{GN7L2TWJSRSJL5UWYR6ODQPNIU}

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	2026-05-18T03:56:58.978067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

337ebd4ec9946495f696c47ce1c1ed45158787d0d86259244d2e3fb2d11c5b63

Aliases

arxiv: 1204.5935 · arxiv_version: 1204.5935v1 · doi: 10.48550/arxiv.1204.5935 · pith_short_12: GN7L2TWJSRSJ · pith_short_16: GN7L2TWJSRSJL5UW · pith_short_8: GN7L2TWJ

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/GN7L2TWJSRSJL5UWYR6ODQPNIU \
  | 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: 337ebd4ec9946495f696c47ce1c1ed45158787d0d86259244d2e3fb2d11c5b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a6e9edfc8314d101150def0f3c3b92cab31c67daa82acfd8f471de573b04b1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-26T14:24:09Z",
    "title_canon_sha256": "f3617a0f339426e37a1ace9331d3302e48375fcaddb9216f667fa31c2a51c277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5935",
    "kind": "arxiv",
    "version": 1
  }
}