Pith Number

pith:S7FGZ755

pith:2018:S7FGZ755DTAER7AC73S6EY32IT

not attested not anchored not stored refs pending

There are no Cubic Graphs on 26 Vertices with Crossing Number 10 or 11

Alex Newcombe, Ed Pegg Jr, Kieran Clancy, Michael Haythorpe

arxiv:1804.10336 v2 · 2018-04-27 · 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{S7FGZ755DTAER7AC73S6EY32IT}

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	2026-05-17T23:46:04.230757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ca6cffbd1cc048fc02fee5e2637a44c33d00f21adc23a6a8c37a086acd2bbc

Aliases

arxiv: 1804.10336 · arxiv_version: 1804.10336v2 · doi: 10.48550/arxiv.1804.10336 · pith_short_12: S7FGZ755DTAE · pith_short_16: S7FGZ755DTAER7AC · pith_short_8: S7FGZ755

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/S7FGZ755DTAER7AC73S6EY32IT \
  | 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: 97ca6cffbd1cc048fc02fee5e2637a44c33d00f21adc23a6a8c37a086acd2bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c01d5d47f7d59fde86d2a4ee52c8141d02db1ba19d10b1bb878611a0e23b4b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-27T04:23:17Z",
    "title_canon_sha256": "9883933ac5c3315952d5c112de3d158e9b4172f300bb329329023397ae97b251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10336",
    "kind": "arxiv",
    "version": 2
  }
}