Pith Number

pith:SU6A5L6D

pith:2009:SU6A5L6DUD7J2ACQM3MGPIUNAX

not attested not anchored not stored refs pending

Correlation inequalities for the Potts model

Geoffrey R. Grimmett

arxiv:0901.1625 v2 · 2009-01-12 · math-ph · 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{SU6A5L6DUD7J2ACQM3MGPIUNAX}

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	2026-05-18T00:21:01.260017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

953c0eafc3a0fe9d005066d867a28d05c6f83d2bd5a78c951c69ff59b4526044

Aliases

arxiv: 0901.1625 · arxiv_version: 0901.1625v2 · doi: 10.48550/arxiv.0901.1625 · pith_short_12: SU6A5L6DUD7J · pith_short_16: SU6A5L6DUD7J2ACQ · pith_short_8: SU6A5L6D

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/SU6A5L6DUD7J2ACQM3MGPIUNAX \
  | 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: 953c0eafc3a0fe9d005066d867a28d05c6f83d2bd5a78c951c69ff59b4526044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb192505e3653f3b395d02dbe2cad4705b749760693298e7a8bee446b3fe563a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-01-12T17:50:32Z",
    "title_canon_sha256": "e01326be0fb9ae7d03aa0a6bb2e4157a20f3897ca3c0e75cd65b2d134dbb2c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1625",
    "kind": "arxiv",
    "version": 2
  }
}