Pith Number

pith:66DDPQH2

pith:2014:66DDPQH2EHSEBCAC3Y3NZIEE6A

not attested not anchored not stored refs pending

Improved upper bounds on the domination number of graphs with minimum degree at least five

Csilla Bujt\'as, Sandi Klav\v{z}ar

arxiv:1410.4334 v1 · 2014-10-16 · 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{66DDPQH2EHSEBCAC3Y3NZIEE6A}

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	2026-05-18T02:39:56.386722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78637c0fa21e4408802de36dca084f013435aeca9d2f94c814f752658aaf845

Aliases

arxiv: 1410.4334 · arxiv_version: 1410.4334v1 · doi: 10.48550/arxiv.1410.4334 · pith_short_12: 66DDPQH2EHSE · pith_short_16: 66DDPQH2EHSEBCAC · pith_short_8: 66DDPQH2

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/66DDPQH2EHSEBCAC3Y3NZIEE6A \
  | 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: f78637c0fa21e4408802de36dca084f013435aeca9d2f94c814f752658aaf845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbfac0d4a5152fe3789dd0754e58bab9ded6f7348029672ac6df20f9792a185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-16T08:40:07Z",
    "title_canon_sha256": "3b8495ceb664cc135f3a9705f487f220ddc73917c22c1cca0fab29308d46a241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4334",
    "kind": "arxiv",
    "version": 1
  }
}