Pith Number

pith:KXAWQ4KP

pith:2025:KXAWQ4KPBHEF3UVNYB4JRBB5T6

not attested not anchored not stored refs pending

Polynomial Szemer\'edi for sets with large Hausdorff dimension on the Torus

Guo-Dong Hong

arxiv:2507.14407 v1 · 2025-07-18 · 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{KXAWQ4KPBHEF3UVNYB4JRBB5T6}

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

2 papers in Pith

On Multi-linear Maximal Operators Along Homogeneous Curves

A curved three-point pattern problem for fractal sets on the real line

Receipt and verification

First computed	2026-07-05T11:40:05.739063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c168714f09c85dd2adc07898843d9f86b6e460e56a262122b9a6e2611e47fc

Aliases

arxiv: 2507.14407 · arxiv_version: 2507.14407v1 · doi: 10.48550/arxiv.2507.14407 · pith_short_12: KXAWQ4KPBHEF · pith_short_16: KXAWQ4KPBHEF3UVN · pith_short_8: KXAWQ4KP

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/KXAWQ4KPBHEF3UVNYB4JRBB5T6 \
  | 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: 55c168714f09c85dd2adc07898843d9f86b6e460e56a262122b9a6e2611e47fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34a8c4b36ce5be29498b532f6ea597039a16ee58e46a5987bd3e206f2a50e4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-18T23:31:10Z",
    "title_canon_sha256": "56a818f0c97a8f79e86f4d8c0e1ca7de1f0db79bd54f9c16c555d38605019410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14407",
    "kind": "arxiv",
    "version": 1
  }
}