Pith Number

pith:XO7FDMSL

pith:2016:XO7FDMSLAEV4QADKRV5WNKR3PO

not attested not anchored not stored refs pending

Neighborhood covering and independence on two superclasses of cographs

Guillermo Dur\'an, Mart\'in D. Safe, Xavier S. Warnes

arxiv:1601.00032 v1 · 2016-01-01 · cs.DM · 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{XO7FDMSLAEV4QADKRV5WNKR3PO}

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	2026-05-18T01:23:31.998167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbbe51b24b012bc8006a8d7b66aa3b7b8cb601d55c5598f11b77b4e2a3dd7cc4

Aliases

arxiv: 1601.00032 · arxiv_version: 1601.00032v1 · doi: 10.48550/arxiv.1601.00032 · pith_short_12: XO7FDMSLAEV4 · pith_short_16: XO7FDMSLAEV4QADK · pith_short_8: XO7FDMSL

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/XO7FDMSLAEV4QADKRV5WNKR3PO \
  | 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: bbbe51b24b012bc8006a8d7b66aa3b7b8cb601d55c5598f11b77b4e2a3dd7cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b09b34ba996a01e07e3580184068516a7c7c6d75898ba92d5d8fd27ef6fa1360",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-01-01T00:02:19Z",
    "title_canon_sha256": "b45fc011bca703425e0633f31fe840019c99338baf147d7effbc255c803ff6a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00032",
    "kind": "arxiv",
    "version": 1
  }
}