Pith Number

pith:YQYICKOQ

pith:2024:YQYICKOQITT6PAKHBMD43WAE6P

not attested not anchored not stored refs pending

Szemer\'edi-Trotter bounds for tubes and applications

Ciprian Demeter, Hong Wang

arxiv:2406.06884 v3 · 2024-06-11 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQYICKOQITT6PAKHBMD43WAE6P}

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

The Kakeya conjecture, after Wang and Zahl

Receipt and verification

First computed	2026-07-05T10:17:47.529475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4308129d044e7e781470b07cdd804f3e41c00de57a4b5f9b2764f53a02f5bc7

Aliases

arxiv: 2406.06884 · arxiv_version: 2406.06884v3 · doi: 10.48550/arxiv.2406.06884 · pith_short_12: YQYICKOQITT6 · pith_short_16: YQYICKOQITT6PAKH · pith_short_8: YQYICKOQ

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/YQYICKOQITT6PAKHBMD43WAE6P \
  | 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: c4308129d044e7e781470b07cdd804f3e41c00de57a4b5f9b2764f53a02f5bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10ec6ff2ff71f2bdd52b9968e5645c418001f2345303a2a54916930bb4129f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-06-11T01:50:50Z",
    "title_canon_sha256": "73e2ca394063981583c5eb80051f4d6a3c9c27c9603ac79d80c58ad1edc44697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06884",
    "kind": "arxiv",
    "version": 3
  }
}