Pith Number

pith:BBIDNVPM

pith:1999:BBIDNVPMV4PSI2S6R5LVHLB6FE

not attested not anchored not stored refs pending

T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology

Robert Shrock

arxiv:cond-mat/9908323 v1 · 1999-08-24 · 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{BBIDNVPMV4PSI2S6R5LVHLB6FE}

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	2026-07-04T16:13:11.151296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085036d5ecaf1f246a5e8f5753ac3e29352a95f4a117c1d1a6ef8d19f2b7097b

Aliases

arxiv: cond-mat/9908323 · arxiv_version: cond-mat/9908323v1 · doi: 10.48550/arxiv.cond-mat/9908323 · pith_short_12: BBIDNVPMV4PS · pith_short_16: BBIDNVPMV4PSI2S6 · pith_short_8: BBIDNVPM

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/BBIDNVPMV4PSI2S6R5LVHLB6FE \
  | 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: 085036d5ecaf1f246a5e8f5753ac3e29352a95f4a117c1d1a6ef8d19f2b7097b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35e4a71f026f91520c84d6c902b6ff37092c0f18c97f065ac8a7276bbe48ea8b",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-08-24T01:50:32Z",
    "title_canon_sha256": "ff88ddc21b346049a11c0a9f9efe42bcdca92e4e08495b8e888ff78ff4217649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9908323",
    "kind": "arxiv",
    "version": 1
  }
}