Pith Number

pith:ZMHKVKME

pith:1997:ZMHKVKME2TBMVKE5F75IMNEYTL

not attested not anchored not stored refs pending

Chromatic Polynomials for Families of Strip Graphs and their Asymptotic Limits

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

arxiv:cond-mat/9712148 v1 · 1997-12-13 · 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{ZMHKVKME2TBMVKE5F75IMNEYTL}

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	2026-05-18T01:39:32.745506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0eaaa984d4c2caa89d2ffa8634989ae5beb82f0cd53aef9b12a8988eeaae76

Aliases

arxiv: cond-mat/9712148 · arxiv_version: cond-mat/9712148v1 · doi: 10.48550/arxiv.cond-mat/9712148 · pith_short_12: ZMHKVKME2TBM · pith_short_16: ZMHKVKME2TBMVKE5 · pith_short_8: ZMHKVKME

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/ZMHKVKME2TBMVKE5F75IMNEYTL \
  | 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: cb0eaaa984d4c2caa89d2ffa8634989ae5beb82f0cd53aef9b12a8988eeaae76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c31f987fdc1983e48c6ad1002e8b8c4d33f3f0738ff887a37a68121d91c635",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-12-13T19:00:54Z",
    "title_canon_sha256": "8ac3d978cc911f53c9d45d8595119f1beb59561c1f9492719ebdafd4bb610cac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9712148",
    "kind": "arxiv",
    "version": 1
  }
}