Pith Number

pith:YKEQVWW2

pith:2010:YKEQVWW2UM6TDYHUGR6AWWYVGR

not attested not anchored not stored refs pending

Testing Simultaneous Planarity when the Common Graph is 2-Connected

Anna Lubiw, Bernhard Haeupler, Krishnam Raju Jampani

arxiv:1009.4517 v2 · 2010-09-23 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKEQVWW2UM6TDYHUGR6AWWYVGR}

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	2026-05-18T04:06:45.130201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2890adadaa33d31e0f4347c0b5b15345c68b23e57b06f77b1167ae96c6a56ec

Aliases

arxiv: 1009.4517 · arxiv_version: 1009.4517v2 · doi: 10.48550/arxiv.1009.4517 · pith_short_12: YKEQVWW2UM6T · pith_short_16: YKEQVWW2UM6TDYHU · pith_short_8: YKEQVWW2

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/YKEQVWW2UM6TDYHUGR6AWWYVGR \
  | 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: c2890adadaa33d31e0f4347c0b5b15345c68b23e57b06f77b1167ae96c6a56ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f31eff1cdb913db63e4ec32d7f1afbe91305bef28f52af9137496b386a8461",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-09-23T04:24:51Z",
    "title_canon_sha256": "72403406a3bf3255533691ee60038fc6870405dcb9a8de75712ebcc4f1ef9ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4517",
    "kind": "arxiv",
    "version": 2
  }
}