Pith Number

pith:AAM24T5Q

pith:2012:AAM24T5Q7FDGZOFDX4OLNCAJHL

not attested not anchored not stored refs pending

The replica symmetric solution for Potts models on d-regular graphs

Allan Sly, Amir Dembo, Andrea Montanari, Nike Sun

arxiv:1207.5500 v1 · 2012-07-23 · math.PR · 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{AAM24T5Q7FDGZOFDX4OLNCAJHL}

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	2026-05-18T03:50:23.261176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0019ae4fb0f9466cb8a3bf1cb688093aeb211db491b7995bbbbb6d26bf2d90e4

Aliases

arxiv: 1207.5500 · arxiv_version: 1207.5500v1 · doi: 10.48550/arxiv.1207.5500 · pith_short_12: AAM24T5Q7FDG · pith_short_16: AAM24T5Q7FDGZOFD · pith_short_8: AAM24T5Q

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/AAM24T5Q7FDGZOFDX4OLNCAJHL \
  | 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: 0019ae4fb0f9466cb8a3bf1cb688093aeb211db491b7995bbbbb6d26bf2d90e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05caa03fd02c1358b6fed7b1eb2879df335bdd3fb6b2ee901ccafc40d648ee52",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-23T19:56:29Z",
    "title_canon_sha256": "c049313840d33a665a6b95a37587ac8c099eeea63df2371667d0d83ee52c89bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5500",
    "kind": "arxiv",
    "version": 1
  }
}