Pith Number

pith:NRNC24MV

pith:2012:NRNC24MV3Y4BUFB2OHDJH3IPFT

not attested not anchored not stored refs pending

An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model

Erwin Bolthausen

arxiv:1201.2891 v1 · 2012-01-13 · math.PR · cond-mat.dis-nn · 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{NRNC24MV3Y4BUFB2OHDJH3IPFT}

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	2026-05-18T04:04:42.978663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c5a2d7195de381a143a71c693ed0f2cf071e0f465ca0a8dea84799edcee1eaa

Aliases

arxiv: 1201.2891 · arxiv_version: 1201.2891v1 · doi: 10.48550/arxiv.1201.2891 · pith_short_12: NRNC24MV3Y4B · pith_short_16: NRNC24MV3Y4BUFB2 · pith_short_8: NRNC24MV

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/NRNC24MV3Y4BUFB2OHDJH3IPFT \
  | 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: 6c5a2d7195de381a143a71c693ed0f2cf071e0f465ca0a8dea84799edcee1eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42cfb5be4dce79f5be55cc7731bdbfe52c2f76638945f50319c45f9e7bd1f7e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-13T16:32:24Z",
    "title_canon_sha256": "d9caeaa4bd425eb06e7e80e09e5af70b1b08fb4fd5c660afe8a6a838810eb28e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2891",
    "kind": "arxiv",
    "version": 1
  }
}