Pith Number

pith:R6GDDH5F

pith:2015:R6GDDH5FUNOSZ6XTMQ32PZJPYT

not attested not anchored not stored refs pending

Graphs that have a weighted adjacency matrix with spectrum $\{\lambda_1^{n-2}, \lambda_1^2\}$

Irene Sciriha, Karen Meagher

arxiv:1504.04178 v1 · 2015-04-16 · 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{R6GDDH5FUNOSZ6XTMQ32PZJPYT}

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	2026-05-18T02:18:39.577648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8c319fa5a35d2cfaf36437a7e52fc4f76d362f3285ea393ef0f3df0e65a8d0

Aliases

arxiv: 1504.04178 · arxiv_version: 1504.04178v1 · doi: 10.48550/arxiv.1504.04178 · pith_short_12: R6GDDH5FUNOS · pith_short_16: R6GDDH5FUNOSZ6XT · pith_short_8: R6GDDH5F

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/R6GDDH5FUNOSZ6XTMQ32PZJPYT \
  | 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: 8f8c319fa5a35d2cfaf36437a7e52fc4f76d362f3285ea393ef0f3df0e65a8d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce3e45191fcaabb9ade0d9b2d275500663e052c0e468982a26809afe4d820b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-16T10:40:19Z",
    "title_canon_sha256": "922579bcf3fef5805ccc95d2de20a26948c9870f829543205659cccaa0be8411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04178",
    "kind": "arxiv",
    "version": 1
  }
}