Pith Number

pith:3GEBZWO3

pith:2017:3GEBZWO3TUXWCWCRBDQZKV7EMN

not attested not anchored not stored refs pending

Decomposing $4$-connected planar triangulations into two trees and one path

Kolja Knauer, Torsten Ueckerdt

arxiv:1710.02411 v2 · 2017-10-06 · math.CO · 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{3GEBZWO3TUXWCWCRBDQZKV7EMN}

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	2026-05-18T00:18:00.071125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9881cd9db9d2f61585108e19557e4636f9cb63be709c2332d2bd12ad5ea9c22

Aliases

arxiv: 1710.02411 · arxiv_version: 1710.02411v2 · doi: 10.48550/arxiv.1710.02411 · pith_short_12: 3GEBZWO3TUXW · pith_short_16: 3GEBZWO3TUXWCWCR · pith_short_8: 3GEBZWO3

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/3GEBZWO3TUXWCWCRBDQZKV7EMN \
  | 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: d9881cd9db9d2f61585108e19557e4636f9cb63be709c2332d2bd12ad5ea9c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6890abf9a2eaa6bd84f0500fcbf84684ca0508e044348d38c757625e0f9159c0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-06T14:02:23Z",
    "title_canon_sha256": "bd2f18076dd04c6cddefd13b46fd463d3d0ca92e0bb5f3e7a1ad258bdf908f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02411",
    "kind": "arxiv",
    "version": 2
  }
}