Pith Number

pith:FTARIHLI

pith:2015:FTARIHLIZGM2TK3RQ4HRH5YU5E

not attested not anchored not stored refs pending

On upper bounds on the smallest size of a saturating set in a projective plane

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

arxiv:1505.01426 v3 · 2015-05-06 · 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{FTARIHLIZGM2TK3RQ4HRH5YU5E}

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	2026-05-18T01:14:45.408283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cc1141d68c999a9ab71870f13f714e901d5a1994e1c97e2e8f848028edffa04

Aliases

arxiv: 1505.01426 · arxiv_version: 1505.01426v3 · doi: 10.48550/arxiv.1505.01426 · pith_short_12: FTARIHLIZGM2 · pith_short_16: FTARIHLIZGM2TK3R · pith_short_8: FTARIHLI

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/FTARIHLIZGM2TK3RQ4HRH5YU5E \
  | 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: 2cc1141d68c999a9ab71870f13f714e901d5a1994e1c97e2e8f848028edffa04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "def5b1a8f96fdf6381a041ea910a1ffd08638724285ff9f8a86bc5e21195ed45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-06T16:42:08Z",
    "title_canon_sha256": "3b5bac7189ebb6ed8c34b75b50acffbfc65594817ee68f7ed33393faa24e08f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01426",
    "kind": "arxiv",
    "version": 3
  }
}