Pith Number

pith:YWY22IIT

pith:2017:YWY22IITOCW4DLETC5XF3MXIFM

not attested not anchored not stored refs pending

Upper bounds on the smallest size of a saturating set in projective planes and spaces of even dimension

Alexander Davydov, Daniele Bartoli, Fernanda Pambianco, Massimo Giulietti, Stefano Marcugini

arxiv:1702.07939 v1 · 2017-02-25 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWY22IITOCW4DLETC5XF3MXIFM}

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	2026-05-18T00:49:56.638423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b1ad211370adc1ac93176e5db2e82b1f89bba1378c1d2c5130cf9e26ca4fe2

Aliases

arxiv: 1702.07939 · arxiv_version: 1702.07939v1 · doi: 10.48550/arxiv.1702.07939 · pith_short_12: YWY22IITOCW4 · pith_short_16: YWY22IITOCW4DLET · pith_short_8: YWY22IIT

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/YWY22IITOCW4DLETC5XF3MXIFM \
  | 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: c5b1ad211370adc1ac93176e5db2e82b1f89bba1378c1d2c5130cf9e26ca4fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a87ca6cf2a8c30c616e6ebaeb18307a76db24651075bfd525f550e59a747dc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-25T19:26:41Z",
    "title_canon_sha256": "32f3b4aaf5e79990e74434501830b0005d06f4693b33372211c70d7d52b0ab37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07939",
    "kind": "arxiv",
    "version": 1
  }
}