Pith Number

pith:232WQU4L

pith:2012:232WQU4LBP572C4VG4JWCMS76M

not attested not anchored not stored refs pending

A Planarity Test via Construction Sequences

Jens M. Schmidt

arxiv:1202.5003 v1 · 2012-02-22 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{232WQU4LBP572C4VG4JWCMS76M}

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	2026-05-18T04:01:40.070368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f568538b0bfbfd0b95371361325ff310ea5aabf5c26afe75a563a1cf82c704

Aliases

arxiv: 1202.5003 · arxiv_version: 1202.5003v1 · doi: 10.48550/arxiv.1202.5003 · pith_short_12: 232WQU4LBP57 · pith_short_16: 232WQU4LBP572C4V · pith_short_8: 232WQU4L

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/232WQU4LBP572C4VG4JWCMS76M \
  | 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: d6f568538b0bfbfd0b95371361325ff310ea5aabf5c26afe75a563a1cf82c704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0abaf9c24957499def90c1932a2387226aeb8f85d8bdbce2b32379a10b616eb8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-02-22T18:46:56Z",
    "title_canon_sha256": "d1e355fc3c14b93680ebb6627400ab1507f72cef5926f4aa05551d16b2de1576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5003",
    "kind": "arxiv",
    "version": 1
  }
}