Pith Number

pith:QFM7VFU7

pith:2007:QFM7VFU7TAM3FMEEBZDAU2ZLJA

not attested not anchored not stored refs pending

Facilitated spin models: recent and new results

Cristina Toninelli, Cyril Roberto, Fabio Martinelli, Nicoletta Cancrini

arxiv:0712.1934 v1 · 2007-12-12 · math.PR · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFM7VFU7TAM3FMEEBZDAU2ZLJA}

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	2026-05-18T03:44:13.901409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8159fa969f9819b2b0840e460a6b2b4810f62ebca4183d5ca046e6c08ab0ff3f

Aliases

arxiv: 0712.1934 · arxiv_version: 0712.1934v1 · doi: 10.48550/arxiv.0712.1934 · pith_short_12: QFM7VFU7TAM3 · pith_short_16: QFM7VFU7TAM3FMEE · pith_short_8: QFM7VFU7

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/QFM7VFU7TAM3FMEEBZDAU2ZLJA \
  | 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: 8159fa969f9819b2b0840e460a6b2b4810f62ebca4183d5ca046e6c08ab0ff3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad93e8a8d47cd1cafe547b10072eba4db42a46d8c907f7e3e6524d7a3c426d6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-12-12T13:35:36Z",
    "title_canon_sha256": "27d4b87c68a8d03cebe6b0b487d8ec3f80f800174159734035201c1563d7a063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1934",
    "kind": "arxiv",
    "version": 1
  }
}