Pith Number

pith:GVOBEEXV

pith:2014:GVOBEEXV57ZXZXUQI7D2UWFAS5

not attested not anchored not stored refs pending

A probabilistic construction of small complete caps in projective spaces

Daniele Bartoli, Fernanda Pambianco, Stefano Marcugini

arxiv:1406.5060 v1 · 2014-06-03 · 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{GVOBEEXV57ZXZXUQI7D2UWFAS5}

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	2026-05-18T02:49:21.043254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

355c1212f5eff37cde9047c7aa58a0976e98f425194ee879e28edf68eab86beb

Aliases

arxiv: 1406.5060 · arxiv_version: 1406.5060v1 · doi: 10.48550/arxiv.1406.5060 · pith_short_12: GVOBEEXV57ZX · pith_short_16: GVOBEEXV57ZXZXUQ · pith_short_8: GVOBEEXV

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/GVOBEEXV57ZXZXUQI7D2UWFAS5 \
  | 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: 355c1212f5eff37cde9047c7aa58a0976e98f425194ee879e28edf68eab86beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d0690eb10d153c1bbd597a807e0de3356809d4dd08dba8babc239bf357bd33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-03T09:52:37Z",
    "title_canon_sha256": "2c927a377edf187f742c3058554c92c292aaf85cbef6322ceb1b4148fac181ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5060",
    "kind": "arxiv",
    "version": 1
  }
}