Pith Number

pith:VO2QSNNY

pith:2015:VO2QSNNYW4ADIZPBHY4NU6YXNE

not attested not anchored not stored refs pending

Bounds on the Exponential Domination Number

Dieter Rautenbach, Pascal Ochem, Stephane Bessy

arxiv:1510.08749 v1 · 2015-10-29 · 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{VO2QSNNYW4ADIZPBHY4NU6YXNE}

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	2026-05-18T01:28:26.884495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb50935b8b7003465e13e38da7b17692086a6b80f0e43e17c9cde258f64727e

Aliases

arxiv: 1510.08749 · arxiv_version: 1510.08749v1 · doi: 10.48550/arxiv.1510.08749 · pith_short_12: VO2QSNNYW4AD · pith_short_16: VO2QSNNYW4ADIZPB · pith_short_8: VO2QSNNY

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/VO2QSNNYW4ADIZPBHY4NU6YXNE \
  | 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: abb50935b8b7003465e13e38da7b17692086a6b80f0e43e17c9cde258f64727e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f679947d4c8903ea01711fe8a2fb0a0bb36fb5a6976a885008b1b1160e06d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-29T15:52:09Z",
    "title_canon_sha256": "2358513b330bfaeef3b94709d4d9b21f61c95b96ad6372370ef0f877746fbde7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08749",
    "kind": "arxiv",
    "version": 1
  }
}