Pith Number

pith:KRYYJRCT

pith:2000:KRYYJRCTEYD7QC47KJFCPAWGHU

not attested not anchored not stored refs pending

The three-dimensional, three-state Potts Model in an External Field

Frithjof Karsch, Sven Stickan

arxiv:hep-lat/0007019 v1 · 2000-07-14 · hep-lat · cond-mat.stat-mech · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRYYJRCTEYD7QC47KJFCPAWGHU}

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.

Cited by

1 paper in Pith

Lee-Yang zeros and edge singularity in a mean-field approach

Receipt and verification

First computed	2026-07-04T16:19:54.895801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547184c4532607f80b9f524a2782c63d25b334fd055eb4e73db3ea1894c8ccc0

Aliases

arxiv: hep-lat/0007019 · arxiv_version: hep-lat/0007019v1 · doi: 10.48550/arxiv.hep-lat/0007019 · pith_short_12: KRYYJRCTEYD7 · pith_short_16: KRYYJRCTEYD7QC47 · pith_short_8: KRYYJRCT

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/KRYYJRCTEYD7QC47KJFCPAWGHU \
  | 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: 547184c4532607f80b9f524a2782c63d25b334fd055eb4e73db3ea1894c8ccc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2ddea695a5fccee418c40758675a37dcb354ec4a63843164ffc864a9d35331",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "2000-07-14T13:43:07Z",
    "title_canon_sha256": "accc9e8387fe36daa1a83288e5d87acb6c384a7a69d9b1c9035d6eb2156d454f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/0007019",
    "kind": "arxiv",
    "version": 1
  }
}