Pith Number

pith:K4R67WJ4

pith:2023:K4R67WJ4DVQIFCMQQQGHQGMSPC

not attested not anchored not stored refs pending

Structure of cell decompositions in Extremal Szemer\'edi-Trotter examples

Nets Katz, Olivine Silier

arxiv:2303.17186 v2 · 2023-03-30 · 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{K4R67WJ4DVQIFCMQQQGHQGMSPC}

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.

Cited by

1 paper in Pith

An incomplete attack on the upper bound of the unit distance problem

Receipt and verification

First computed	2026-06-03T01:05:02.875224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5723efd93c1d60828990840c781992788db76b758b69dbeb5f20e863ebd2117b

Aliases

arxiv: 2303.17186 · arxiv_version: 2303.17186v2 · doi: 10.48550/arxiv.2303.17186 · pith_short_12: K4R67WJ4DVQI · pith_short_16: K4R67WJ4DVQIFCMQ · pith_short_8: K4R67WJ4

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/K4R67WJ4DVQIFCMQQQGHQGMSPC \
  | 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: 5723efd93c1d60828990840c781992788db76b758b69dbeb5f20e863ebd2117b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24cec41eaa3e4aad6e06aeab43e2a8287330ace33e5216efd2b0fea6c9be1dec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-30T06:49:14Z",
    "title_canon_sha256": "2c5e86b354fa77ee5ce6052c06af4faee9b75a5ceca62c009df201160b3d795c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17186",
    "kind": "arxiv",
    "version": 2
  }
}