Pith Number

pith:B7UC4XQK

pith:2016:B7UC4XQKPLZ356PHGQBF2URJF6

not attested not anchored not stored refs pending

Laplacian integrality in P4-sparse and P4-extendible graphs

Atila Jones, Renata Del-Vecchio

arxiv:1611.08271 v1 · 2016-11-24 · cs.DM · 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{B7UC4XQKPLZ356PHGQBF2URJF6}

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	2026-05-18T00:56:39.627664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe82e5e0a7af3bef9e734025d52292f8a329c90a3d6b6a953508ebebd046fed

Aliases

arxiv: 1611.08271 · arxiv_version: 1611.08271v1 · doi: 10.48550/arxiv.1611.08271 · pith_short_12: B7UC4XQKPLZ3 · pith_short_16: B7UC4XQKPLZ356PH · pith_short_8: B7UC4XQK

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/B7UC4XQKPLZ356PHGQBF2URJF6 \
  | 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: 0fe82e5e0a7af3bef9e734025d52292f8a329c90a3d6b6a953508ebebd046fed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84476618bae906787af5b068a00107a6cf00986cda97485a4405c48c3675bcb8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-11-24T17:51:40Z",
    "title_canon_sha256": "1e98e3ba5a45b9900e3105c4812d280d6e38637ca6d62f9e0af163b3dff9da31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08271",
    "kind": "arxiv",
    "version": 1
  }
}