Pith Number

pith:WYZRDBQE

pith:2011:WYZRDBQEHVZM7K5OL24URQR2UZ

not attested not anchored not stored refs pending

On the Dimension of Finite Point Sets I. An Improved Incidence Bound for Proper 3D sets

Gy\"orgy Elekes

arxiv:1109.0634 v1 · 2011-09-03 · 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{WYZRDBQEHVZM7K5OL24URQR2UZ}

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	2026-05-18T04:14:07.197768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6331186043d72cfabae5eb948c23aa67db5f5339725071badb69f7969656fdb

Aliases

arxiv: 1109.0634 · arxiv_version: 1109.0634v1 · doi: 10.48550/arxiv.1109.0634 · pith_short_12: WYZRDBQEHVZM · pith_short_16: WYZRDBQEHVZM7K5O · pith_short_8: WYZRDBQE

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/WYZRDBQEHVZM7K5OL24URQR2UZ \
  | 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: b6331186043d72cfabae5eb948c23aa67db5f5339725071badb69f7969656fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841202e9a0ea38b021a37b32f51e02220e70c2a5b2654711f0f976681e605780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-03T16:33:58Z",
    "title_canon_sha256": "b632d2de43ba0e640d07cb096005c37fefb89c47ba9314a9b112396873552635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0634",
    "kind": "arxiv",
    "version": 1
  }
}