Pith Number

pith:WTSJUZ4T

pith:2024:WTSJUZ4TIX5T7WZQDTMVQOKBUO

not attested not anchored not stored refs pending

Graphs with Bipartite Complement that Admit Two Distinct Eigenvalues

Brendan Rooney, Michael Tait, Shahla Nasserasr, Shaun Fallat, Veronika Furst, Wayne Barrett

arxiv:2411.12917 v1 · 2024-11-19 · 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{WTSJUZ4TIX5T7WZQDTMVQOKBUO}

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.

Cited by

1 paper in Pith

Two Distinct Eigenvalues from a New Graph Product

Receipt and verification

First computed	2026-07-05T09:38:02.263142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e49a679345fb3fdb301cd9583941a3bf7e4fc79db53a0b9c10c19bf1783ed7

Aliases

arxiv: 2411.12917 · arxiv_version: 2411.12917v1 · doi: 10.48550/arxiv.2411.12917 · pith_short_12: WTSJUZ4TIX5T · pith_short_16: WTSJUZ4TIX5T7WZQ · pith_short_8: WTSJUZ4T

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/WTSJUZ4TIX5T7WZQDTMVQOKBUO \
  | 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: b4e49a679345fb3fdb301cd9583941a3bf7e4fc79db53a0b9c10c19bf1783ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecef0f42f1db2dc4b989090b6a18bf648deb0e3b4540c67245dab36b8da45eda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-19T23:05:43Z",
    "title_canon_sha256": "611e31e810be6e985cafb36f8f7a0c1afac0fae0ec0ee2488be480ef6d7838f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12917",
    "kind": "arxiv",
    "version": 1
  }
}