Pith Number

pith:QB5ARTMJ

pith:1999:QB5ARTMJE2XF7SCGGODGXBQKIN

not attested not anchored not stored refs pending

Exact phase diagrams for an Ising model on a two-layer Bethe lattice

Chin-Kun Hu, K. B. Oganesyan, N. Sh. Izmailian

arxiv:cond-mat/9904008 v1 · 1999-04-01 · 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{QB5ARTMJE2XF7SCGGODGXBQKIN}

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	2026-05-18T01:07:04.793543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

807a08cd8926ae5fc84633866b860a435c847822e63afca160c8967a3edb0d47

Aliases

arxiv: cond-mat/9904008 · arxiv_version: cond-mat/9904008v1 · doi: 10.48550/arxiv.cond-mat/9904008 · pith_short_12: QB5ARTMJE2XF · pith_short_16: QB5ARTMJE2XF7SCG · pith_short_8: QB5ARTMJ

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/QB5ARTMJE2XF7SCGGODGXBQKIN \
  | 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: 807a08cd8926ae5fc84633866b860a435c847822e63afca160c8967a3edb0d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1ba2c8365bd9fd74cce8f29cc1fab7e780e8c854dee6e59f4834ab86e76dda",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-04-01T10:06:03Z",
    "title_canon_sha256": "246a077bd06201d4f2a515deae392c488ebbbb508e47a5fb7ffce512a52aae31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9904008",
    "kind": "arxiv",
    "version": 1
  }
}