Pith Number

pith:WBGU6IXN

pith:1997:WBGU6IXNVSFKZVODCQIK4U3LQY

not attested not anchored not stored refs pending

Families of Graphs With Chromatic Zeros Lying on Circles

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

arxiv:cond-mat/9703249 v1 · 1997-03-28 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBGU6IXNVSFKZVODCQIK4U3LQY}

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	2026-07-04T16:03:46.710918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04d4f22edac8aacd5c31410ae536b860df32b37b6a5d2b06662602fa2fefbfa

Aliases

arxiv: cond-mat/9703249 · arxiv_version: cond-mat/9703249v1 · doi: 10.48550/arxiv.cond-mat/9703249 · pith_short_12: WBGU6IXNVSFK · pith_short_16: WBGU6IXNVSFKZVOD · pith_short_8: WBGU6IXN

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/WBGU6IXNVSFKZVODCQIK4U3LQY \
  | 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: b04d4f22edac8aacd5c31410ae536b860df32b37b6a5d2b06662602fa2fefbfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c796a982e732617bc7979455d2c5f94d5fdf695f8a86cf7715c32121d5167dc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-03-28T23:56:26Z",
    "title_canon_sha256": "f0047c1442061f0fe25e9095a2b58d6ea33bb51f98f8c21e087c04a5253b148a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9703249",
    "kind": "arxiv",
    "version": 1
  }
}