Pith Number

pith:JCGCG4BK

pith:2000:JCGCG4BKMBOGX2LSBWRZO73VNZ

not attested not anchored not stored refs pending

Extension to order $\beta^{23}$ of the high-temperature expansions for the spin-1/2 Ising model on the simple-cubic and the body-centered-cubic lattices

M. Comi (Phys. Dept. of Milano Bicocca Univ.), P. Butera

arxiv:hep-lat/0006009 v3 · 2000-06-06 · hep-lat · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCGCG4BKMBOGX2LSBWRZO73VNZ}

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	2026-05-18T01:06:39.419710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488c23702a605c6be9720da3977f756e70b80c4c4a651f709951e1ec8cf6004c

Aliases

arxiv: hep-lat/0006009 · arxiv_version: hep-lat/0006009v3 · doi: 10.48550/arxiv.hep-lat/0006009 · pith_short_12: JCGCG4BKMBOG · pith_short_16: JCGCG4BKMBOGX2LS · pith_short_8: JCGCG4BK

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/JCGCG4BKMBOGX2LSBWRZO73VNZ \
  | 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: 488c23702a605c6be9720da3977f756e70b80c4c4a651f709951e1ec8cf6004c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b031f19d8309e28d91a374e1f0ff02bbdeeac6ef66792fdb57e76292eb25754a",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "2000-06-06T15:53:12Z",
    "title_canon_sha256": "bddaca665028c20ac1c177ef4076aa1a427946a4c9e28617f01b5fd52cb53979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/0006009",
    "kind": "arxiv",
    "version": 3
  }
}