Pith Number

pith:BJ3DGIRN

pith:2024:BJ3DGIRNR5WC2SGZ6I6D3MY2YT

not attested not anchored not stored refs pending

Planar Tur\'an number of two adjacent cycles

Guiying Yan, Qiang Zhou, Xinzhe Song

arxiv:2411.18487 v2 · 2024-11-27 · 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{BJ3DGIRNR5WC2SGZ6I6D3MY2YT}

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	2026-07-05T11:07:17.145266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7633222d8f6c2d48d9f23c3db31ac4f126190e0130a2b697ab31ae5d730160

Aliases

arxiv: 2411.18487 · arxiv_version: 2411.18487v2 · doi: 10.48550/arxiv.2411.18487 · pith_short_12: BJ3DGIRNR5WC · pith_short_16: BJ3DGIRNR5WC2SGZ · pith_short_8: BJ3DGIRN

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/BJ3DGIRNR5WC2SGZ6I6D3MY2YT \
  | 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: 0a7633222d8f6c2d48d9f23c3db31ac4f126190e0130a2b697ab31ae5d730160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238fe3d73dad56efaa65a1b36b5df25fdd744cce20f2b7db999eeb3fa14c148e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-27T16:30:06Z",
    "title_canon_sha256": "69b4543da1cbb21052814c5ce5719e6d93ed91fb9cdbb241c2f059ab25e9bbf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18487",
    "kind": "arxiv",
    "version": 2
  }
}