Pith Number

pith:BSZCKAAX

pith:2019:BSZCKAAXZPK6GPTXIEYR3LJBXH

not attested not anchored not stored refs pending

Planar graphs without normally adjacent short cycles

Fangyao Lu, Mengjiao Rao, Qianqian Wang, Tao Wang

arxiv:1908.04902 v4 · 2019-08-14 · 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{BSZCKAAXZPK6GPTXIEYR3LJBXH}

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	2026-07-05T04:30:36.173153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb2250017cbd5e33e7741311dad21b9d4cf9ea63c833ea03ba487fd79b1b920

Aliases

arxiv: 1908.04902 · arxiv_version: 1908.04902v4 · doi: 10.48550/arxiv.1908.04902 · pith_short_12: BSZCKAAXZPK6 · pith_short_16: BSZCKAAXZPK6GPTX · pith_short_8: BSZCKAAX

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/BSZCKAAXZPK6GPTXIEYR3LJBXH \
  | 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: 0cb2250017cbd5e33e7741311dad21b9d4cf9ea63c833ea03ba487fd79b1b920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64bc38e5e6d1793fe62d70bab244d1fcce4b1445581a537d9a680fa739cf43a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-14T00:57:30Z",
    "title_canon_sha256": "5c983aeb1e0f09d6f793b45eefa22870a9aaefaf88ad2265d894321abd353edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04902",
    "kind": "arxiv",
    "version": 4
  }
}