Pith Number

pith:77STRWHL

pith:2003:77STRWHLEV2PZEP3FDGSV5KXUL

not attested not anchored not stored refs pending

The Szemeredi-Trotter Theorem in the Complex Plane

Csaba D. Toth

arxiv:math/0305283 v6 · 2003-05-20 · 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{77STRWHLEV2PZEP3FDGSV5KXUL}

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	2026-05-18T01:37:06.101072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe538d8eb2574fc91fb28cd2af557a2c880e0f8fcb515246c22c03a35f28ea9

Aliases

arxiv: math/0305283 · arxiv_version: math/0305283v6 · doi: 10.48550/arxiv.math/0305283 · pith_short_12: 77STRWHLEV2P · pith_short_16: 77STRWHLEV2PZEP3 · pith_short_8: 77STRWHL

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/77STRWHLEV2PZEP3FDGSV5KXUL \
  | 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: ffe538d8eb2574fc91fb28cd2af557a2c880e0f8fcb515246c22c03a35f28ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b5161ab88df4da342f5ffe94a967ee0ee29ddb0ffbad3cf985ee11f54a1069a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2003-05-20T00:29:27Z",
    "title_canon_sha256": "13464691713d7b340beda06d8d39009472c0375a4bdb59a68c8d41bcf9dafca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305283",
    "kind": "arxiv",
    "version": 6
  }
}