Pith Number

pith:PXSK4SZK

pith:2016:PXSK4SZKGASAWFYZ3WEVHY5APO

not attested not anchored not stored refs pending

Generalized Curie-Weiss Model and Quadratic Pressure in Ergodic Theory

F. Watbled, R. Leplaideur

arxiv:1612.07909 v2 · 2016-12-23 · math.DS · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXSK4SZKGASAWFYZ3WEVHY5APO}

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	2026-05-18T00:33:34.974202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de4ae4b2a30240b1719dd8953e3a07bb4c798610559f0a9d9288b55d12a4943

Aliases

arxiv: 1612.07909 · arxiv_version: 1612.07909v2 · doi: 10.48550/arxiv.1612.07909 · pith_short_12: PXSK4SZKGASA · pith_short_16: PXSK4SZKGASAWFYZ · pith_short_8: PXSK4SZK

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/PXSK4SZKGASAWFYZ3WEVHY5APO \
  | 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: 7de4ae4b2a30240b1719dd8953e3a07bb4c798610559f0a9d9288b55d12a4943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab9e0984b754fb33a398fcd961de71dfa7b1741d73a69dd1586250c427de109",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-23T09:17:13Z",
    "title_canon_sha256": "6d935151d864bc19ce65ba7b0954162efef13548efe95f0a92612108df2a944b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07909",
    "kind": "arxiv",
    "version": 2
  }
}