Pith Number

pith:IFGPEX4T

pith:2023:IFGPEX4TN5Z7OB643G25N5AXSN

not attested not anchored not stored refs pending

Detection of an Arbitrary Number of Communities in a Block Spin Ising Model

Gabor Toth, Jos\'e Luis P\'erez, Miguel Ballesteros, Rams\'es H. Mena

arxiv:2311.18112 v1 · 2023-11-29 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFGPEX4TN5Z7OB643G25N5AXSN}

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	2026-07-05T07:18:37.249363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414cf25f936f73f707dcd9b5d6f417935180c8211898b56f6b2d467128c9584f

Aliases

arxiv: 2311.18112 · arxiv_version: 2311.18112v1 · doi: 10.48550/arxiv.2311.18112 · pith_short_12: IFGPEX4TN5Z7 · pith_short_16: IFGPEX4TN5Z7OB64 · pith_short_8: IFGPEX4T

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/IFGPEX4TN5Z7OB643G25N5AXSN \
  | 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: 414cf25f936f73f707dcd9b5d6f417935180c8211898b56f6b2d467128c9584f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8ccc95e41d4374cbab32d800210d9470e398e60c9cf298b1cbae5353cb21d7",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-11-29T21:56:18Z",
    "title_canon_sha256": "ff121feb704a4631482adbfb8e208809abe41060c6e7ac90ed5cced63847fdf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.18112",
    "kind": "arxiv",
    "version": 1
  }
}