Pith Number

pith:GOBMWEJ5

pith:2016:GOBMWEJ5TXDKYLTO6SCOIZNL2D

not attested not anchored not stored refs pending

Split Domination, Independence, and Irredundance in Graphs

Fiona Knoll, Renu Laskar, Stephen Hedetniemi

arxiv:1605.03151 v2 · 2016-05-06 · 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{GOBMWEJ5TXDKYLTO6SCOIZNL2D}

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	2026-05-18T01:14:52.104248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3382cb113d9dc6ac2e6ef484e465abd0f3e055bc51b72de9a89bf00b8fa59073

Aliases

arxiv: 1605.03151 · arxiv_version: 1605.03151v2 · doi: 10.48550/arxiv.1605.03151 · pith_short_12: GOBMWEJ5TXDK · pith_short_16: GOBMWEJ5TXDKYLTO · pith_short_8: GOBMWEJ5

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/GOBMWEJ5TXDKYLTO6SCOIZNL2D \
  | 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: 3382cb113d9dc6ac2e6ef484e465abd0f3e055bc51b72de9a89bf00b8fa59073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3ce8ee45e3e2d1243181a83e50ef9fb7e6031ff12205471f231e8f05c40104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-06T03:36:28Z",
    "title_canon_sha256": "486a6dd72e96ff605bf478f7e90b5c74f6b7f304be394cf3b5e17c9c64e8b4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03151",
    "kind": "arxiv",
    "version": 2
  }
}