Pith Number

pith:CQVAPOUJ

pith:2015:CQVAPOUJUIQ7MEWHVRKFAP25M2

not attested not anchored not stored refs pending

Ideal Tree-drawings of Approximately Optimal Width (And Small Height)

Therese Biedl

arxiv:1502.02753 v4 · 2015-02-10 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQVAPOUJUIQ7MEWHVRKFAP25M2}

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	2026-05-18T01:10:55.518180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142a07ba89a221f612c7ac54503f5d669d83ce95fa3a36c270e91f556d1e9453

Aliases

arxiv: 1502.02753 · arxiv_version: 1502.02753v4 · doi: 10.48550/arxiv.1502.02753 · pith_short_12: CQVAPOUJUIQ7 · pith_short_16: CQVAPOUJUIQ7MEWH · pith_short_8: CQVAPOUJ

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/CQVAPOUJUIQ7MEWHVRKFAP25M2 \
  | 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: 142a07ba89a221f612c7ac54503f5d669d83ce95fa3a36c270e91f556d1e9453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ab9ca8348d30ae2a2d168587dc852ce3e19a8055ee789824239eb54fdfcb0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-02-10T01:29:52Z",
    "title_canon_sha256": "c6bd2837a69083bd33a2e7c7f779f862a1d281424b243f52967df98f28b00c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02753",
    "kind": "arxiv",
    "version": 4
  }
}