Pith Number

pith:KEGEUL6J

pith:1996:KEGEUL6JEXBI7IQVZPGQMN4D2L

not attested not anchored not stored refs pending

Asymptotic Limits and Zeros of Chromatic Polynomials and Ground State Entropy of Potts Antiferromagnets

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

arxiv:cond-mat/9612249 v2 · 1996-12-31 · 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{KEGEUL6JEXBI7IQVZPGQMN4D2L}

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	2026-07-04T16:01:07.941097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510c4a2fc925c28fa215cbcd063783d2c766e4c56583736ca37cf688df8b88e6

Aliases

arxiv: cond-mat/9612249 · arxiv_version: cond-mat/9612249v2 · doi: 10.48550/arxiv.cond-mat/9612249 · pith_short_12: KEGEUL6JEXBI · pith_short_16: KEGEUL6JEXBI7IQV · pith_short_8: KEGEUL6J

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/KEGEUL6JEXBI7IQVZPGQMN4D2L \
  | 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: 510c4a2fc925c28fa215cbcd063783d2c766e4c56583736ca37cf688df8b88e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ba503c4a8f934db40c568b6b05421866d9673ef053205f6ea4f2ffaf488331",
    "cross_cats_sorted": [
      "hep-lat",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1996-12-31T04:10:00Z",
    "title_canon_sha256": "df0dba6133479fee77a9169daec8db2437d153b3f2b432db72a68d1cf3420bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9612249",
    "kind": "arxiv",
    "version": 2
  }
}