Pith Number

pith:COCQZCF5

pith:2020:COCQZCF5BMZY3TY5UYQRKGCRKG

not attested not anchored not stored refs pending

Lee-Yang theory of the Curie-Weiss model and its rare fluctuations

Aydin Deger, Christian Flindt

arxiv:2002.01269 v2 · 2020-02-04 · 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{COCQZCF5BMZY3TY5UYQRKGCRKG}

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	2026-07-05T01:15:56.849512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13850c88bd0b338dcf1da62115185151b5322e37280a04a9d7ac7a3b38de0b92

Aliases

arxiv: 2002.01269 · arxiv_version: 2002.01269v2 · doi: 10.48550/arxiv.2002.01269 · pith_short_12: COCQZCF5BMZY · pith_short_16: COCQZCF5BMZY3TY5 · pith_short_8: COCQZCF5

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/COCQZCF5BMZY3TY5UYQRKGCRKG \
  | 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: 13850c88bd0b338dcf1da62115185151b5322e37280a04a9d7ac7a3b38de0b92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100609d29249779e48bfb0c4ce525811655a9c236d730c6346d80bbf4942aaff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2020-02-04T13:07:39Z",
    "title_canon_sha256": "a6a141bec689c64f9acf0eb54091256a29fcf2f146d396d4b3f154a5d2a371b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01269",
    "kind": "arxiv",
    "version": 2
  }
}