Pith Number

pith:4FKF2EKJ

pith:1996:4FKF2EKJD6K6E6PIQ6OQXEMA6Z

not attested not anchored not stored refs pending

Absence of Phase Transition for Antiferromagnetic Potts Models via the Dobrushin Uniqueness Theorem

Alan D. Sokal (NYU), Jes\'us Salas

arxiv:cond-mat/9603068 v1 · 1996-03-08 · cond-mat · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FKF2EKJD6K6E6PIQ6OQXEMA6Z}

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	2026-07-04T16:00:31.124147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1545d11491f95e279e8879d0b9180f6424fc22d8188d7f1f67a6f7492eaad07

Aliases

arxiv: cond-mat/9603068 · arxiv_version: cond-mat/9603068v1 · doi: 10.48550/arxiv.cond-mat/9603068 · pith_short_12: 4FKF2EKJD6K6 · pith_short_16: 4FKF2EKJD6K6E6PI · pith_short_8: 4FKF2EKJ

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/4FKF2EKJD6K6E6PIQ6OQXEMA6Z \
  | 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: e1545d11491f95e279e8879d0b9180f6424fc22d8188d7f1f67a6f7492eaad07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3a4203a7579df3260dff48f25d1f09a3aaaa64a15e77a0b89847a93a982c37",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1996-03-08T21:46:54Z",
    "title_canon_sha256": "d5b011659835eaf33b702a276f76a3ca4732d9b87c5bed41cdbbb09a05fa9255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9603068",
    "kind": "arxiv",
    "version": 1
  }
}