Pith Number

pith:KUGHI2O3

pith:2007:KUGHI2O3JDS3L5LR6VUJKS6PRF

not attested not anchored not stored refs pending

Ising spin glass models versus Ising models: an effective mapping at high temperature III. Rigorous formulation and detailed proof for general graphs

Massimo Ostilli

arxiv:0706.1949 v3 · 2007-06-13 · 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{KUGHI2O3JDS3L5LR6VUJKS6PRF}

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	2026-05-18T04:09:16.221000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550c7469db48e5b5f571f568954bcf8974f453e4c1a4fb8524f67d374bdd04ec

Aliases

arxiv: 0706.1949 · arxiv_version: 0706.1949v3 · doi: 10.48550/arxiv.0706.1949 · pith_short_12: KUGHI2O3JDS3 · pith_short_16: KUGHI2O3JDS3L5LR · pith_short_8: KUGHI2O3

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/KUGHI2O3JDS3L5LR6VUJKS6PRF \
  | 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: 550c7469db48e5b5f571f568954bcf8974f453e4c1a4fb8524f67d374bdd04ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd76423c86462442051c292571e55b821cb36e640b9bdc14d92dfacd1ec8730",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2007-06-13T16:47:58Z",
    "title_canon_sha256": "237c0a987e2182ec06efebf01f0044774197b05c50d27fc6275498db5a27e257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1949",
    "kind": "arxiv",
    "version": 3
  }
}