Pith Number

pith:HZGVS62F

pith:2021:HZGVS62FEDLTGGUTLMZLPK7QU3

not attested not anchored not stored refs pending

Planar graphs with the maximum number of induced 6-cycles

Michael Savery

arxiv:2110.07319 v2 · 2021-10-14 · 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{HZGVS62FEDLTGGUTLMZLPK7QU3}

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	2026-07-05T07:35:57.868947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4d597b4520d7331a935b32b7abf0a6eb37c39a4650177f9445b9d3911a84f0

Aliases

arxiv: 2110.07319 · arxiv_version: 2110.07319v2 · doi: 10.48550/arxiv.2110.07319 · pith_short_12: HZGVS62FEDLT · pith_short_16: HZGVS62FEDLTGGUT · pith_short_8: HZGVS62F

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/HZGVS62FEDLTGGUTLMZLPK7QU3 \
  | 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: 3e4d597b4520d7331a935b32b7abf0a6eb37c39a4650177f9445b9d3911a84f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35223eff1d9e86967d27a7e49f06eb8734038ddfd0f788d4dc32ea7e4e079f5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-14T12:51:30Z",
    "title_canon_sha256": "158abaf189dec5ac09a91391a5dec7d5fbe7b35c922e15f8c1bfed45cf813799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07319",
    "kind": "arxiv",
    "version": 2
  }
}