Pith Number

pith:UUTANO5H

pith:2019:UUTANO5HEUUC32XCCRDCCSBDKE

not attested not anchored not stored refs pending

Planar graphs have bounded queue-number

David R. Wood, Gwena\"el Joret, Pat Morin, Piotr Micek, Torsten Ueckerdt, Vida Dujmovi\'c

arxiv:1904.04791 v5 · 2019-04-09 · 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{UUTANO5HEUUC32XCCRDCCSBDKE}

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.

Cited by

1 paper in Pith

Row pathwidth of complete binary trees

Receipt and verification

First computed	2026-07-05T01:25:34.280052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52606bba725282deae2144621482351232fd127566d08f19c8d31876fb85b09

Aliases

arxiv: 1904.04791 · arxiv_version: 1904.04791v5 · doi: 10.48550/arxiv.1904.04791 · pith_short_12: UUTANO5HEUUC · pith_short_16: UUTANO5HEUUC32XC · pith_short_8: UUTANO5H

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/UUTANO5HEUUC32XCCRDCCSBDKE \
  | 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: a52606bba725282deae2144621482351232fd127566d08f19c8d31876fb85b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c326573b5de9d8dc67fdeacf5f668204d968efaa96ca610d9fa92a06bf2b876a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-04-09T17:11:16Z",
    "title_canon_sha256": "acfbeed2fa908d1739ecaa5ba7b8219f398db458e47190ec7c7155453d1545e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04791",
    "kind": "arxiv",
    "version": 5
  }
}