Pith Number

pith:FNQU62NA

pith:1996:FNQU62NABJMMBXFZQM62ZM6LNM

not attested not anchored not stored refs pending

A Quasi-exact Formula for Ising critical temperatures on Hypercubic Lattices

Alain Mauger (GPS, AOMC Universites Paris 6 et 7), Serge Galam

arxiv:cond-mat/9609235 v1 · 1996-09-24 · 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{FNQU62NABJMMBXFZQM62ZM6LNM}

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	2026-05-18T01:39:33.955126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b614f69a00a58c0dcb9833dacb3cb6b0934bc17b54fe4e8948a09e493e016d8

Aliases

arxiv: cond-mat/9609235 · arxiv_version: cond-mat/9609235v1 · doi: 10.48550/arxiv.cond-mat/9609235 · pith_short_12: FNQU62NABJMM · pith_short_16: FNQU62NABJMMBXFZ · pith_short_8: FNQU62NA

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/FNQU62NABJMMBXFZQM62ZM6LNM \
  | 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: 2b614f69a00a58c0dcb9833dacb3cb6b0934bc17b54fe4e8948a09e493e016d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c08911654cce89a9c095685673cd6b5dd964b6ca6f361b263c92d15442aabab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1996-09-24T15:14:28Z",
    "title_canon_sha256": "f66af1edadb18446e38bded4043405dee0f3bbe923b9a067e22d69cd6ebacf8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9609235",
    "kind": "arxiv",
    "version": 1
  }
}