Pith Number

pith:ZN3XX2TO

pith:2018:ZN3XX2TOSJ7UWSDPTEGWZ3ML72

not attested not anchored not stored refs pending

Effect of predomination and vertex removal on the game total domination number of a graph

Vesna Ir\v{s}i\v{c}

arxiv:1802.03637 v1 · 2018-02-10 · 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{ZN3XX2TOSJ7UWSDPTEGWZ3ML72}

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	2026-05-18T00:23:50.898353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb777bea6e927f4b486f990d6ced8bfe813d65a0536246dbfc53d28388fffb1b

Aliases

arxiv: 1802.03637 · arxiv_version: 1802.03637v1 · doi: 10.48550/arxiv.1802.03637 · pith_short_12: ZN3XX2TOSJ7U · pith_short_16: ZN3XX2TOSJ7UWSDP · pith_short_8: ZN3XX2TO

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/ZN3XX2TOSJ7UWSDPTEGWZ3ML72 \
  | 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: cb777bea6e927f4b486f990d6ced8bfe813d65a0536246dbfc53d28388fffb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ef09bbe44f7343bff53f1811718b6b78818ee74a72b2896f05c3eb2ad479ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-10T18:37:08Z",
    "title_canon_sha256": "696ae09114e6a66990668205015719f212c906845ae7b2d4602a6b639e169985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03637",
    "kind": "arxiv",
    "version": 1
  }
}