Pith Number

pith:JLS3VOGU

pith:2016:JLS3VOGUGPGAKUHWS7CWGTLP2C

not attested not anchored not stored refs pending

An o-minimal Szemer\'edi-Trotter theorem

Orit E. Raz, Saugata Basu

arxiv:1611.07362 v3 · 2016-11-22 · math.LO · cs.CG · 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{JLS3VOGUGPGAKUHWS7CWGTLP2C}

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	2026-05-18T00:40:24.110835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ae5bab8d433cc0550f697c5634d6fd08bc26bb86c0cdce0dfaee714d8a87961

Aliases

arxiv: 1611.07362 · arxiv_version: 1611.07362v3 · doi: 10.48550/arxiv.1611.07362 · pith_short_12: JLS3VOGUGPGA · pith_short_16: JLS3VOGUGPGAKUHW · pith_short_8: JLS3VOGU

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/JLS3VOGUGPGAKUHWS7CWGTLP2C \
  | 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: 4ae5bab8d433cc0550f697c5634d6fd08bc26bb86c0cdce0dfaee714d8a87961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d14b78167d4acd1ac600cec72d34f1955326f35f638b8843013e0b30f6957b",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-11-22T15:33:22Z",
    "title_canon_sha256": "170d9adcbadaa5a3d81a953cda80d7738a0f92fdb389ea91037beac1b21bd69e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07362",
    "kind": "arxiv",
    "version": 3
  }
}