Pith Number

pith:A7YCG4AZ

pith:2018:A7YCG4AZGP63YMGL5WZ7B4SMSJ

not attested not anchored not stored refs pending

Smallest cyclically covering subspaces of $\mathbb{F}_q^n$, and lower bounds in Isbell's conjecture

David Ellis, Peter Cameron, William Raynaud

arxiv:1810.03485 v3 · 2018-10-08 · 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{A7YCG4AZGP63YMGL5WZ7B4SMSJ}

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	2026-05-17T23:44:48.013921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f023701933fdbc30cbedb3f0f24c926fd019f9a853e5a8b9939d729f49b2db

Aliases

arxiv: 1810.03485 · arxiv_version: 1810.03485v3 · doi: 10.48550/arxiv.1810.03485 · pith_short_12: A7YCG4AZGP63 · pith_short_16: A7YCG4AZGP63YMGL · pith_short_8: A7YCG4AZ

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/A7YCG4AZGP63YMGL5WZ7B4SMSJ \
  | 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: 07f023701933fdbc30cbedb3f0f24c926fd019f9a853e5a8b9939d729f49b2db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ff56dac86e1809a12dbd80941e50e63b9e782a1d13aff129ae63583d62b7e3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-08T14:19:11Z",
    "title_canon_sha256": "b8a8bff91c69e726137cc80fb9b2b0e7c62d5f1518877a812d28117dd003afc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03485",
    "kind": "arxiv",
    "version": 3
  }
}