Pith Number

pith:OXHNFVGL

pith:2010:OXHNFVGLC45IDWT3GPUQOA4LTS

not attested not anchored not stored refs pending

Spin glass models from the point of view of spin distributions

Dmitry Panchenko

arxiv:1005.2720 v2 · 2010-05-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXHNFVGLC45IDWT3GPUQOA4LTS}

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	2026-05-18T03:25:04.491062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75ced2d4cb173a81da7b33e907038b9cb0a21c36acb169b3e960d9c4c57165ea

Aliases

arxiv: 1005.2720 · arxiv_version: 1005.2720v2 · doi: 10.48550/arxiv.1005.2720 · pith_short_12: OXHNFVGLC45I · pith_short_16: OXHNFVGLC45IDWT3 · pith_short_8: OXHNFVGL

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/OXHNFVGLC45IDWT3GPUQOA4LTS \
  | 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: 75ced2d4cb173a81da7b33e907038b9cb0a21c36acb169b3e960d9c4c57165ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02de474d24d7a20d5bebc9d7c1cb82577446feed78cca67ae71a01a3ff5f3839",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-16T03:57:22Z",
    "title_canon_sha256": "047eafe00f5cfbabc7d0c3d37871e490cb7ea30ebaca5da5bcbe453893d8212a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2720",
    "kind": "arxiv",
    "version": 2
  }
}