Pith Number

pith:42VIDWVC

pith:2012:42VIDWVCIRPZJ46G2YPQ5Y5JVS

not attested not anchored not stored refs pending

Gibbs-non-Gibbs transitions via large deviations: computable examples

Feijia Wang, Frank Redig

arxiv:1202.4343 v1 · 2012-02-20 · math.PR · cond-mat.stat-mech · 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{42VIDWVCIRPZJ46G2YPQ5Y5JVS}

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	2026-05-18T03:39:16.584881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6aa81daa2445f94f3c6d61f0ee3a9acadd9f38ac4ca69b2e843bc576d1c14ef

Aliases

arxiv: 1202.4343 · arxiv_version: 1202.4343v1 · doi: 10.48550/arxiv.1202.4343 · pith_short_12: 42VIDWVCIRPZ · pith_short_16: 42VIDWVCIRPZJ46G · pith_short_8: 42VIDWVC

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/42VIDWVCIRPZJ46G2YPQ5Y5JVS \
  | 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: e6aa81daa2445f94f3c6d61f0ee3a9acadd9f38ac4ca69b2e843bc576d1c14ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75702c8c2b0f144d1bef61ee12953f6005244ace1beb8c7e07fb558721a0ccc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-20T14:59:56Z",
    "title_canon_sha256": "57b4f713ed34bb2a5c8aad5c95b98d3490f09225a32de7df1bb2be518cf86800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4343",
    "kind": "arxiv",
    "version": 1
  }
}