Pith Number

pith:CGMELMKZ

pith:2021:CGMELMKZ6KUZ4JWH2QJAH76RPE

not attested not anchored not stored refs pending

Planar Median Graphs and Cubesquare-Graphs

Carsten R. Seemann, Marc Hellmuth, Peter F. Stadler, Vincent Moulton

arxiv:2110.09346 v1 · 2021-10-18 · 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{CGMELMKZ6KUZ4JWH2QJAH76RPE}

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	2026-07-05T03:23:27.317980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

119845b159f2a99e26c7d41203ffd17937813e4880bbb072fa6269ca4cf148d2

Aliases

arxiv: 2110.09346 · arxiv_version: 2110.09346v1 · doi: 10.48550/arxiv.2110.09346 · pith_short_12: CGMELMKZ6KUZ · pith_short_16: CGMELMKZ6KUZ4JWH · pith_short_8: CGMELMKZ

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/CGMELMKZ6KUZ4JWH2QJAH76RPE \
  | 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: 119845b159f2a99e26c7d41203ffd17937813e4880bbb072fa6269ca4cf148d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c343daf705ad956bc44be4897b2de3878a38afe0ea6f0f4ed5bc2619e798568b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-18T14:21:41Z",
    "title_canon_sha256": "791caf86b2b99e465ff7a46c5a84a2b611cf1f5a14a8438f50cc3bc4ca88122e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09346",
    "kind": "arxiv",
    "version": 1
  }
}