Pith Number

pith:USK3LMIX

pith:2019:USK3LMIXPDAWHZMWW5PJX52SQI

not attested not anchored not stored refs pending

On the Crossing Number of the Cartesian Product of a Sunlet Graph and a Star Graph

Alex Newcombe, Michael Haythorpe

arxiv:1902.10357 v1 · 2019-02-27 · 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{USK3LMIXPDAWHZMWW5PJX52SQI}

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	2026-05-17T23:52:31.070641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a495b5b11778c163e596b75e9bf7528225b1461382736f2474630e71a250d8f1

Aliases

arxiv: 1902.10357 · arxiv_version: 1902.10357v1 · doi: 10.48550/arxiv.1902.10357 · pith_short_12: USK3LMIXPDAW · pith_short_16: USK3LMIXPDAWHZMW · pith_short_8: USK3LMIX

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/USK3LMIXPDAWHZMWW5PJX52SQI \
  | 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: a495b5b11778c163e596b75e9bf7528225b1461382736f2474630e71a250d8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82916701448ff2e9ddb80c290491d43347dfdf2e50bbc90ff72da2cf3203665f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-27T06:46:13Z",
    "title_canon_sha256": "151fc2bd58a901321b590bec5641b779faabdcaf39154deab90f14da911522ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10357",
    "kind": "arxiv",
    "version": 1
  }
}