Pith Number

pith:UDRNIYEH

pith:2014:UDRNIYEHYC5VGPKBLYSPGABJOW

not attested not anchored not stored refs pending

Generalizations of the Szemer\'edi-Trotter Theorem

Ben Yang, Micha Sharir, Noam Solomon, Saarik Kalia

arxiv:1408.5915 v3 · 2014-08-25 · 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{UDRNIYEHYC5VGPKBLYSPGABJOW}

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	2026-05-18T01:23:38.828185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e2d46087c0bb533d415e24f300297590e60bb7a82d3797cba58a02364017ca

Aliases

arxiv: 1408.5915 · arxiv_version: 1408.5915v3 · doi: 10.48550/arxiv.1408.5915 · pith_short_12: UDRNIYEHYC5V · pith_short_16: UDRNIYEHYC5VGPKB · pith_short_8: UDRNIYEH

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/UDRNIYEHYC5VGPKBLYSPGABJOW \
  | 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: a0e2d46087c0bb533d415e24f300297590e60bb7a82d3797cba58a02364017ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda39e873b70a3cd7ce620b0bb8f03c51be180bf3ce62617e86aff69780281c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-25T20:12:54Z",
    "title_canon_sha256": "118f0a4a022e7d05e7801f03b12bfe425df133bf9feb4f1cbd66518c02a13ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5915",
    "kind": "arxiv",
    "version": 3
  }
}