Pith Number

pith:AEU3ZIXM

pith:2015:AEU3ZIXMGNQVXUDG7ZVKPVEMJI

not attested not anchored not stored refs pending

Exponential Domination in Subcubic Graphs

Dieter Rautenbach, Pascal Ochem, St\'ephane Bessy

arxiv:1511.01398 v1 · 2015-11-04 · 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{AEU3ZIXMGNQVXUDG7ZVKPVEMJI}

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	2026-05-18T01:27:47.195900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0129bca2ec33615bd066fe6aa7d48c4a041d29323b6c1445af712b9441e2d3d5

Aliases

arxiv: 1511.01398 · arxiv_version: 1511.01398v1 · doi: 10.48550/arxiv.1511.01398 · pith_short_12: AEU3ZIXMGNQV · pith_short_16: AEU3ZIXMGNQVXUDG · pith_short_8: AEU3ZIXM

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/AEU3ZIXMGNQVXUDG7ZVKPVEMJI \
  | 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: 0129bca2ec33615bd066fe6aa7d48c4a041d29323b6c1445af712b9441e2d3d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f7af6ca25ea072780097190b274aa96cc323e7e33253d75dde3da67f5997ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-04T17:06:11Z",
    "title_canon_sha256": "5e875a9d3453e9ad23c990da7afac076e42db34c05cd127c8247781b91f235e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01398",
    "kind": "arxiv",
    "version": 1
  }
}