Pith Number

pith:BFZ5K4WL

pith:2016:BFZ5K4WLJBQAHUS334JHUK7KM7

not attested not anchored not stored refs pending

Cubic arc-transitive $k$-circulants

Cai Heng Li, Gabriel Verret, Istv\'an Kov\'acs, Michael Giudici

arxiv:1603.01368 v1 · 2016-03-04 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFZ5K4WLJBQAHUS334JHUK7KM7}

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	2026-05-18T01:19:37.794107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0973d572cb486003d25bdf127a2bea67c4be116e6f949edb5034b1a09fe841d2

Aliases

arxiv: 1603.01368 · arxiv_version: 1603.01368v1 · doi: 10.48550/arxiv.1603.01368 · pith_short_12: BFZ5K4WLJBQA · pith_short_16: BFZ5K4WLJBQAHUS3 · pith_short_8: BFZ5K4WL

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/BFZ5K4WLJBQAHUS334JHUK7KM7 \
  | 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: 0973d572cb486003d25bdf127a2bea67c4be116e6f949edb5034b1a09fe841d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe885e4b552a955f5d7c7112cb322aebe246a2b07d1d496614388f0ac368a36",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-04T07:42:01Z",
    "title_canon_sha256": "3ee2df417c2716f386aa0f85ea209a93813cc5e47a917d0c48d6fe43dcb1ca94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01368",
    "kind": "arxiv",
    "version": 1
  }
}