Pith Number

pith:7Y5ZQUYL

pith:2015:7Y5ZQUYL3TZO52SD23FOPNJIER

not attested not anchored not stored refs pending

Compressed Cliques Graphs, Clique Coverings and Positive Zero Forcing

Abolghasem Soltani, Boting Yang, Karen Meagher, Shaun Fallat

arxiv:1508.07357 v1 · 2015-08-28 · 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{7Y5ZQUYL3TZO52SD23FOPNJIER}

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	2026-05-18T01:34:32.479255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3b98530bdcf2eeea43d6cae7b528245d5b888d481db97b3723e5374572a455

Aliases

arxiv: 1508.07357 · arxiv_version: 1508.07357v1 · doi: 10.48550/arxiv.1508.07357 · pith_short_12: 7Y5ZQUYL3TZO · pith_short_16: 7Y5ZQUYL3TZO52SD · pith_short_8: 7Y5ZQUYL

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/7Y5ZQUYL3TZO52SD23FOPNJIER \
  | 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: fe3b98530bdcf2eeea43d6cae7b528245d5b888d481db97b3723e5374572a455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364ecafa65d7ce387e0cbd3a3ace1af7ba8c2bb559348549e4004785010e0485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-28T21:34:47Z",
    "title_canon_sha256": "ddb43c2c7af722b6d7ba2c74dfa54c15962100ef74a71d9c7bac91b71a1013eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07357",
    "kind": "arxiv",
    "version": 1
  }
}