Pith Number

pith:SSU2QG5Y

pith:2016:SSU2QG5Y2R576IZYLJ2RLJP3WW

not attested not anchored not stored refs pending

Optimal-size clique transversals in chordal graphs

Andrzej Grzesik, Daniel Kral, Jacob W. Cooper

arxiv:1601.05305 v2 · 2016-01-20 · 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{SSU2QG5Y2R576IZYLJ2RLJP3WW}

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	2026-05-18T00:19:19.622299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a9a81bb8d47bff23385a7515a5fbb5b4cf50e0e43efb4272339616fab6d913

Aliases

arxiv: 1601.05305 · arxiv_version: 1601.05305v2 · doi: 10.48550/arxiv.1601.05305 · pith_short_12: SSU2QG5Y2R57 · pith_short_16: SSU2QG5Y2R576IZY · pith_short_8: SSU2QG5Y

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/SSU2QG5Y2R576IZYLJ2RLJP3WW \
  | 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: 94a9a81bb8d47bff23385a7515a5fbb5b4cf50e0e43efb4272339616fab6d913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94614bb61b1efab37a77139e43bccd5270b89be933e8a49031a2706044be6883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-20T15:31:56Z",
    "title_canon_sha256": "522ec971621a29dd0be294f310d848193920d32ab2a64466e74bb91ed8bf3109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05305",
    "kind": "arxiv",
    "version": 2
  }
}