Pith Number

pith:3M6AF3HV

pith:2011:3M6AF3HVVPVRT4RGIXAOY5ILMJ

not attested not anchored not stored refs pending

A motivic approach to phase transitions in Potts models

Matilde Marcolli (Caltech), Paolo Aluffi (FSU)

arxiv:1102.3462 v1 · 2011-02-17 · math-ph · cond-mat.stat-mech · math.AG · 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{3M6AF3HVVPVRT4RGIXAOY5ILMJ}

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	2026-05-18T03:19:24.482835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3c02ecf5abeb19f22645c0ec750b6262e2c4fdc4f45b754b555fd4ec7dbccd

Aliases

arxiv: 1102.3462 · arxiv_version: 1102.3462v1 · doi: 10.48550/arxiv.1102.3462 · pith_short_12: 3M6AF3HVVPVR · pith_short_16: 3M6AF3HVVPVRT4RG · pith_short_8: 3M6AF3HV

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/3M6AF3HVVPVRT4RGIXAOY5ILMJ \
  | 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: db3c02ecf5abeb19f22645c0ec750b6262e2c4fdc4f45b754b555fd4ec7dbccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e670dc59a7697f95c5c4487d041a78706d9002b24c2ca166d668d1b15ce57783",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-17T00:43:31Z",
    "title_canon_sha256": "9eb2f6691cc138d3f227341abf71107884212447a9529832507d3244c00f7c22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3462",
    "kind": "arxiv",
    "version": 1
  }
}