Pith Number

pith:LA43J6TJ

pith:1997:LA43J6TJEEHGIQGO46UMEVGPLT

not attested not anchored not stored refs pending

Lower Bounds and Series for the Ground State Entropy of the Potts Antiferromagnet on Archimedean Lattices and their Duals

Robert Shrock, Shan-Ho Tsai (Institute for Theoretical Physics, State University of New York at Stony Brook)

arxiv:cond-mat/9707306 v1 · 1997-07-29 · cond-mat.stat-mech · hep-lat · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA43J6TJEEHGIQGO46UMEVGPLT}

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	2026-07-04T16:04:07.826837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5839b4fa69210e6440cee7a8c254cf5cc37a238a3d284d26b99d671a113a8bc8

Aliases

arxiv: cond-mat/9707306 · arxiv_version: cond-mat/9707306v1 · doi: 10.48550/arxiv.cond-mat/9707306 · pith_short_12: LA43J6TJEEHG · pith_short_16: LA43J6TJEEHGIQGO · pith_short_8: LA43J6TJ

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/LA43J6TJEEHGIQGO46UMEVGPLT \
  | 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: 5839b4fa69210e6440cee7a8c254cf5cc37a238a3d284d26b99d671a113a8bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc13bc8d80cc08c02ff878bfbb46493b5ee3603097f83388d5331777fa29d58",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-07-29T21:56:23Z",
    "title_canon_sha256": "291d8c6abeedd0a94828c931b93cb4309adb931a1d4e55ba03202e7ce0d25611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9707306",
    "kind": "arxiv",
    "version": 1
  }
}