Pith Number

pith:CGGMDHNZ

pith:2015:CGGMDHNZ2ATKFERJWZQ4PYHWHT

not attested not anchored not stored refs pending

Independence and Efficient Domination on $P_6$-free Graphs

Daniel Lokshtanov, Erik Jan van Leeuwen, Marcin Pilipczuk

arxiv:1507.02163 v2 · 2015-07-08 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGGMDHNZ2ATKFERJWZQ4PYHWHT}

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	2026-05-18T01:34:15.684198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118cc19db9d026a29229b661c7e0f63ce7357d3e6f7b9a0d7272672f396dadb9

Aliases

arxiv: 1507.02163 · arxiv_version: 1507.02163v2 · doi: 10.48550/arxiv.1507.02163 · pith_short_12: CGGMDHNZ2ATK · pith_short_16: CGGMDHNZ2ATKFERJ · pith_short_8: CGGMDHNZ

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/CGGMDHNZ2ATKFERJWZQ4PYHWHT \
  | 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: 118cc19db9d026a29229b661c7e0f63ce7357d3e6f7b9a0d7272672f396dadb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50cbfbe83e59e48fe8e416bb8ba0b0d15f66c0b3ab3e7c6814b96b4386b96d35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-07-08T14:12:58Z",
    "title_canon_sha256": "06fbf28eeb5939beb9efc945571a8b4cc9e87e59d81b6786aa4bc7a55ad32a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02163",
    "kind": "arxiv",
    "version": 2
  }
}