Pith Number

pith:OHGVKN36

pith:2016:OHGVKN36P74M765SSB6E3OHUHS

not attested not anchored not stored refs pending

Tables, bounds and graphics of the smallest known sizes of complete caps in the spaces $\mathrm{PG}(3,q)$ and $\mathrm{PG}(4,q)$

Alexander A. Davydov, Alexey A. Kreshchuk, Daniele Bartoli, Fernanda Pambianco, Stefano Marcugini

arxiv:1610.09656 v1 · 2016-10-30 · 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{OHGVKN36P74M765SSB6E3OHUHS}

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	2026-05-18T01:00:51.363617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71cd55377e7ff8cffbb2907c4db8f43cb6d6a1931ea48628819a3a55cf174a77

Aliases

arxiv: 1610.09656 · arxiv_version: 1610.09656v1 · doi: 10.48550/arxiv.1610.09656 · pith_short_12: OHGVKN36P74M · pith_short_16: OHGVKN36P74M765S · pith_short_8: OHGVKN36

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/OHGVKN36P74M765SSB6E3OHUHS \
  | 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: 71cd55377e7ff8cffbb2907c4db8f43cb6d6a1931ea48628819a3a55cf174a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac9444831d891ffa5fa655125649d9072ad381fa344f36271210f365f61c352",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-30T14:48:37Z",
    "title_canon_sha256": "dd10b30bc9a7751cefb5f92afe0bae43451e48a78b17a15dc8d842c108fe8abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09656",
    "kind": "arxiv",
    "version": 1
  }
}