Pith Number

pith:O7R7JZDV

pith:2024:O7R7JZDVDYOM2VZEPSG2TH7PD3

not attested not anchored not stored refs pending

Strong Embeddings of 3-Connected Cubic Planar Graphs on Surfaces of non-negative Euler Characteristic

Alice C. Niemeyer, Meike Wei{\ss}

arxiv:2407.17972 v3 · 2024-07-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7R7JZDVDYOM2VZEPSG2TH7PD3}

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	2026-05-25T02:01:01.216841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e3f4e4751e1ccd57247c8da99fef1eda566f1eed57b120310ad3839b0712a1

Aliases

arxiv: 2407.17972 · arxiv_version: 2407.17972v3 · doi: 10.48550/arxiv.2407.17972 · pith_short_12: O7R7JZDVDYOM · pith_short_16: O7R7JZDVDYOM2VZE · pith_short_8: O7R7JZDV

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/O7R7JZDVDYOM2VZEPSG2TH7PD3 \
  | 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: 77e3f4e4751e1ccd57247c8da99fef1eda566f1eed57b120310ad3839b0712a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9811fbc0393a7cd2e092886c8c8738a1cba7b3c002c73f32b688fa7823436ef1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-25T12:07:28Z",
    "title_canon_sha256": "7a837935bf3b482ea9114b6891d78a545926be420ba04559b90f4a75df65d455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17972",
    "kind": "arxiv",
    "version": 3
  }
}