Pith Number

pith:6PPXBIO5

pith:2015:6PPXBIO54RTSXDL2X7AWO6WSXY

not attested not anchored not stored refs pending

Large butterfly Cayley graphs and digraphs

David Bevan

arxiv:1507.08926 v2 · 2015-07-31 · 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{6PPXBIO54RTSXDL2X7AWO6WSXY}

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	2026-05-18T00:15:05.843525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3df70a1dde4672b8d7abfc1677ad2be3703d7746f3afc953fa6a612f517dd40

Aliases

arxiv: 1507.08926 · arxiv_version: 1507.08926v2 · doi: 10.48550/arxiv.1507.08926 · pith_short_12: 6PPXBIO54RTS · pith_short_16: 6PPXBIO54RTSXDL2 · pith_short_8: 6PPXBIO5

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/6PPXBIO54RTSXDL2X7AWO6WSXY \
  | 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: f3df70a1dde4672b8d7abfc1677ad2be3703d7746f3afc953fa6a612f517dd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d991a8fe20f584b37efb477e16171055ea5990a8b7b0e8f86fedc98c5d364779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-31T16:05:00Z",
    "title_canon_sha256": "75884e9bc2a5193161d15b6d6de10ad19fa2e1023df5540b32a2ea03730fc645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08926",
    "kind": "arxiv",
    "version": 2
  }
}