Pith Number

pith:AOC4FQE5

pith:2023:AOC4FQE5UTHU2YVFAU5CRD6SYY

not attested not anchored not stored refs pending

New improvement to Falconer distance set problem in higher dimensions

Kevin Ren, Ruixiang Zhang, Xiumin Du, Yumeng Ou

arxiv:2309.04103 v2 · 2023-09-08 · math.CA · math.CO · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOC4FQE5UTHU2YVFAU5CRD6SYY}

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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

4 papers in Pith

On volume vectors determined by hypergraphs in thin subsets of Euclidean space

A Delsarte Linear Programming Approach to the Erd\H{o}s--Falconer Distance Problem over Finite Fields

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates

On Fourier decay and the distance set problem

Receipt and verification

First computed	2026-07-05T09:23:44.501944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0385c2c09da4cf4d62a5053a288fd2c63869c82d1c62ec053abfb444a0f1370b

Aliases

arxiv: 2309.04103 · arxiv_version: 2309.04103v2 · doi: 10.48550/arxiv.2309.04103 · pith_short_12: AOC4FQE5UTHU · pith_short_16: AOC4FQE5UTHU2YVF · pith_short_8: AOC4FQE5

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/AOC4FQE5UTHU2YVFAU5CRD6SYY \
  | 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: 0385c2c09da4cf4d62a5053a288fd2c63869c82d1c62ec053abfb444a0f1370b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96506f9f2247e65edc32c01693a11217ea6366ae56bd9722d72c98cc7d14ca0",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-09-08T03:46:50Z",
    "title_canon_sha256": "412c77c3ba95b9cc25d3a639e7ecd5b6e2d9faed2c2c81993859b796a581a349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04103",
    "kind": "arxiv",
    "version": 2
  }
}