Pith Number

pith:BS46YRVV

pith:2014:BS46YRVVJX7QOF3XNYX2MLSUU6

not attested not anchored not stored refs pending

Full Proof of the Existence of a Degree 8 Circulant graph of Order L(8,k) of Arbitrary Diameter k

Robert Lewis

arxiv:1404.3949 v3 · 2014-04-11 · 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{BS46YRVVJX7QOF3XNYX2MLSUU6}

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	2026-05-18T02:45:55.674186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb9ec46b54dff0717776e2fa62e54a7ace20ec1455f242793b6117e99bbb0d6

Aliases

arxiv: 1404.3949 · arxiv_version: 1404.3949v3 · doi: 10.48550/arxiv.1404.3949 · pith_short_12: BS46YRVVJX7Q · pith_short_16: BS46YRVVJX7QOF3X · pith_short_8: BS46YRVV

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/BS46YRVVJX7QOF3XNYX2MLSUU6 \
  | 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: 0cb9ec46b54dff0717776e2fa62e54a7ace20ec1455f242793b6117e99bbb0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e48cc15b3afbb0687c5c121fe943eb49160d603a56db29c618ca884d5c4d4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-11T14:40:06Z",
    "title_canon_sha256": "8e94eb7baef1df225c8ff989a64812245219bf045b24629b94441ecbcb0f6922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3949",
    "kind": "arxiv",
    "version": 3
  }
}