Pith Number

pith:7GXXBCED

pith:2010:7GXXBCEDRB35TQWDAAVFERPPEC

not attested not anchored not stored refs pending

Zero-Temperature Complex Replica Zeros of the $\pm J$ Ising Spin Glass on Mean-Field Systems and Beyond

Hidetoshi Nishimori, Masayuki Ohzeki, Tomoyuki Obuchi, Yoshiyuki Kabashima

arxiv:1004.3118 v1 · 2010-04-19 · cond-mat.dis-nn · 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{7GXXBCEDRB35TQWDAAVFERPPEC}

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	2026-05-18T02:07:56.965423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9af7088838877d9c2c3002a5245ef209e0f644f52dd33a69d5be2418146a4e2

Aliases

arxiv: 1004.3118 · arxiv_version: 1004.3118v1 · doi: 10.48550/arxiv.1004.3118 · pith_short_12: 7GXXBCEDRB35 · pith_short_16: 7GXXBCEDRB35TQWD · pith_short_8: 7GXXBCED

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/7GXXBCEDRB35TQWDAAVFERPPEC \
  | 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: f9af7088838877d9c2c3002a5245ef209e0f644f52dd33a69d5be2418146a4e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12140f7662dfd76a08fbffabc712e864a64ef620f0a62b71c6b2644e0ae17525",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-04-19T08:06:41Z",
    "title_canon_sha256": "d7800921e0d043c6ab498164a5d214303a34f03b6626ed206bd26a9fb735beaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3118",
    "kind": "arxiv",
    "version": 1
  }
}