Pith Number

pith:TBKV74XY

pith:2012:TBKV74XYIIWXPXREBASY3V4JNJ

not attested not anchored not stored refs pending

A note on the Lee-Yang circle theorem

Ranjan Kumar Ghosh

arxiv:1201.3169 v1 · 2012-01-16 · 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{TBKV74XYIIWXPXREBASY3V4JNJ}

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	2026-05-18T04:04:32.011658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98555ff2f8422d77de2408258dd7896a5a7eb4f05aa15a7c4ce7244d6b6c13df

Aliases

arxiv: 1201.3169 · arxiv_version: 1201.3169v1 · doi: 10.48550/arxiv.1201.3169 · pith_short_12: TBKV74XYIIWX · pith_short_16: TBKV74XYIIWXPXRE · pith_short_8: TBKV74XY

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/TBKV74XYIIWXPXREBASY3V4JNJ \
  | 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: 98555ff2f8422d77de2408258dd7896a5a7eb4f05aa15a7c4ce7244d6b6c13df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0972bdf499bfba8efef274480faddc905dfafb0c51d782e87b710aa86ecd063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-16T07:32:18Z",
    "title_canon_sha256": "f98819a672697cbb62dd8c171d980b49021a963a71898a14bf01b0466228a9b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3169",
    "kind": "arxiv",
    "version": 1
  }
}