Pith Number

pith:4ZOJZPZK

pith:2016:4ZOJZPZKOKA6XEVIJF2TMLFNOV

not attested not anchored not stored refs pending

Line Percolation in Finite Projective Planes

Bal\'azs Keszegh, Bal\'azs Patk\'os, D\'aniel Gerbner, G\'abor M\'esz\'aros, M\'at\'e Vizer

arxiv:1608.00531 v1 · 2016-08-01 · 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{4ZOJZPZKOKA6XEVIJF2TMLFNOV}

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	2026-05-18T01:10:11.604988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e65c9cbf2a7281eb92a84975362cad75471c11556957fc8f3904fcc8b40bafdd

Aliases

arxiv: 1608.00531 · arxiv_version: 1608.00531v1 · doi: 10.48550/arxiv.1608.00531 · pith_short_12: 4ZOJZPZKOKA6 · pith_short_16: 4ZOJZPZKOKA6XEVI · pith_short_8: 4ZOJZPZK

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/4ZOJZPZKOKA6XEVIJF2TMLFNOV \
  | 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: e65c9cbf2a7281eb92a84975362cad75471c11556957fc8f3904fcc8b40bafdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743beb533f3090320806ba9ff22419825e12972c09e4a921b2435077d612a5b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-01T19:14:02Z",
    "title_canon_sha256": "626277a85423335cdc5522c00f15b13cdeabaa19ed6b925d6a2bc53ffedf61da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00531",
    "kind": "arxiv",
    "version": 1
  }
}