pith. machine review for the scientific record. sign in
Pith Number

pith:BX6CTH4V

pith:2013:BX6CTH4VCNVVVHXYW7MEE2RWVL
not attested not anchored not stored refs pending

The planar directed k-Vertex-Disjoint Paths problem is fixed-parameter tractable

D\'aniel Marx, Marcin Pilipczuk, Marek Cygan, Micha{\l} Pilipczuk

arxiv:1304.4207 v1 · 2013-04-15 · cs.DM · cs.DS · math.CO

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 2026-05-18T03:27:55.160869Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0dfc299f95136b5a9ef8b7d8426a36aac4d9cd792610731e2604cbe56f8726c9

Aliases

arxiv: 1304.4207 · arxiv_version: 1304.4207v1 · doi: 10.48550/arxiv.1304.4207 · pith_short_12: BX6CTH4VCNVV · pith_short_16: BX6CTH4VCNVVVHXY · pith_short_8: BX6CTH4V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BX6CTH4VCNVVVHXYW7MEE2RWVL \
  | 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: 0dfc299f95136b5a9ef8b7d8426a36aac4d9cd792610731e2604cbe56f8726c9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0dea38e6577eb5a392f5e6b9d980b4727225b8f8c28ab139374e58d7bcfb8b76",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-04-15T19:15:18Z",
    "title_canon_sha256": "fc087fb0c529a823829b00ec459951c8038e50544d3db7c5175dad843d802a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4207",
    "kind": "arxiv",
    "version": 1
  }
}