Pith Number

pith:LSDGJVGK

pith:2025:LSDGJVGKWVHAVN5Y647GR5I34S

not attested not anchored not stored refs pending

Endpoint estimates for the fractal circular maximal function and related local smoothing

Feng Zhang, Luz Roncal, Sanghyuk Lee, Shuijiang Zhao

arxiv:2506.20390 v1 · 2025-06-25 · 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{LSDGJVGKWVHAVN5Y647GR5I34S}

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	2026-07-05T11:27:04.788510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c8664d4cab54e0ab7b8f73e68f51be4a755d7d60b2cdf267cbe567c7d2fb160

Aliases

arxiv: 2506.20390 · arxiv_version: 2506.20390v1 · doi: 10.48550/arxiv.2506.20390 · pith_short_12: LSDGJVGKWVHA · pith_short_16: LSDGJVGKWVHAVN5Y · pith_short_8: LSDGJVGK

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/LSDGJVGKWVHAVN5Y647GR5I34S \
  | 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: 5c8664d4cab54e0ab7b8f73e68f51be4a755d7d60b2cdf267cbe567c7d2fb160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7c753b1d4cd0cfbcd3f2bedec6b39477d68cb5b753277f42beb721c07412c8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-06-25T12:59:24Z",
    "title_canon_sha256": "654777bc8755bd82b7a1cb867f4fe3c010351207014cb0c31bfeeac001482bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20390",
    "kind": "arxiv",
    "version": 1
  }
}