Pith Number

pith:VNUX4QQS

pith:2012:VNUX4QQS5KZQHWMMIWGCC4NXSD

not attested not anchored not stored refs pending

The Sherrington-Kirkpatrick model: an overview

Dmitry Panchenko

arxiv:1211.1094 v1 · 2012-11-06 · math-ph · cond-mat.dis-nn · math.MP · 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{VNUX4QQS5KZQHWMMIWGCC4NXSD}

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	2026-05-18T01:53:25.347685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab697e4212eab303d98c458c2171b790c10d49a12091d8cfe8aeb731cc0c5a6f

Aliases

arxiv: 1211.1094 · arxiv_version: 1211.1094v1 · doi: 10.48550/arxiv.1211.1094 · pith_short_12: VNUX4QQS5KZQ · pith_short_16: VNUX4QQS5KZQHWMM · pith_short_8: VNUX4QQS

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/VNUX4QQS5KZQHWMMIWGCC4NXSD \
  | 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: ab697e4212eab303d98c458c2171b790c10d49a12091d8cfe8aeb731cc0c5a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972fe46598f2561e2909cc01996584be8149b23988fa45105d3d08e0fe6a7564",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-06T02:57:08Z",
    "title_canon_sha256": "5ad605469db937833d1a2475d325170eaeebf3e834b00cb15271c2211d7ec622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1094",
    "kind": "arxiv",
    "version": 1
  }
}