Pith Number

pith:QZR3R4K3

pith:2016:QZR3R4K3XYIJPLXPVY7PZXLL5L

not attested not anchored not stored refs pending

Enumeration of cubic Cayley graphs on dihedral groups

Lu Lu, Qiongxiang Huang, Xueyi Huang

arxiv:1609.05419 v1 · 2016-09-18 · 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{QZR3R4K3XYIJPLXPVY7PZXLL5L}

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	2026-05-18T00:36:39.265283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8663b8f15bbe1097aeefae3efcdd6beaed796a632d48e94a557d5e2ab7096875

Aliases

arxiv: 1609.05419 · arxiv_version: 1609.05419v1 · doi: 10.48550/arxiv.1609.05419 · pith_short_12: QZR3R4K3XYIJ · pith_short_16: QZR3R4K3XYIJPLXP · pith_short_8: QZR3R4K3

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/QZR3R4K3XYIJPLXPVY7PZXLL5L \
  | 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: 8663b8f15bbe1097aeefae3efcdd6beaed796a632d48e94a557d5e2ab7096875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5389583e67321df1c1d5d3739fbfa32af9fa7844f24ced8ff5fb97543e91cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-18T03:40:13Z",
    "title_canon_sha256": "4c2afc8d4033e07586df58edc2b8924c2ebfed57a56ba2825a7e61372dc10bb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05419",
    "kind": "arxiv",
    "version": 1
  }
}