Pith Number

pith:OSKHVLNW

pith:2010:OSKHVLNWXBMNNMLHRFFYF5GWPB

not attested not anchored not stored refs pending

Computational determination of (3,11) and (4,7) cages

Brendan D. McKay, Geoffrey Exoo, Jacqueline Nadon, Wendy Myrvold

arxiv:1009.3608 v1 · 2010-09-19 · 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{OSKHVLNWXBMNNMLHRFFYF5GWPB}

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	2026-05-18T04:40:44.421932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74947aadb6b858d6b167894b82f4d6784f1134756ee5c463d086816bd3f8fa13

Aliases

arxiv: 1009.3608 · arxiv_version: 1009.3608v1 · doi: 10.48550/arxiv.1009.3608 · pith_short_12: OSKHVLNWXBMN · pith_short_16: OSKHVLNWXBMNNMLH · pith_short_8: OSKHVLNW

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/OSKHVLNWXBMNNMLHRFFYF5GWPB \
  | 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: 74947aadb6b858d6b167894b82f4d6784f1134756ee5c463d086816bd3f8fa13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e10f8803efddabc6265c3c4e008de8e8bd7f877354ae25add465426c5aeb24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-19T05:02:42Z",
    "title_canon_sha256": "affe1d08b380a36c6f1c0db1734defcc80bb07eadbd13bed0f4b0f17e3bee212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3608",
    "kind": "arxiv",
    "version": 1
  }
}