Pith Number

pith:YHFBX4XC

pith:2024:YHFBX4XCD433PZ2HHHJJNL5MWX

not attested not anchored not stored refs pending

$L^p$ maximal estimates for Weyl sums with $k\ge3$ on $\mathbb{T}$

Changxing Miao, Jiye Yuan, Tengfei Zhao, Xuezhi Chen

arxiv:2408.15527 v1 · 2024-08-28 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHFBX4XCD433PZ2HHHJJNL5MWX}

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

On the pointwise convergence of NLS flow on $ \S^2 $

Receipt and verification

First computed	2026-07-05T09:00:13.224297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ca1bf2e21f37b7e74739d296afacb5d1084cd4011a6ce91efe3cb9779c3463

Aliases

arxiv: 2408.15527 · arxiv_version: 2408.15527v1 · doi: 10.48550/arxiv.2408.15527 · pith_short_12: YHFBX4XCD433 · pith_short_16: YHFBX4XCD433PZ2H · pith_short_8: YHFBX4XC

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/YHFBX4XCD433PZ2HHHJJNL5MWX \
  | 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: c1ca1bf2e21f37b7e74739d296afacb5d1084cd4011a6ce91efe3cb9779c3463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ec6d9b314d5a5fc253b06441fa494eff429bf612484591735ca8d0d2f28e10",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-28T04:21:51Z",
    "title_canon_sha256": "6ef730a66539a175f20099fae1579f2a9bade38231b888bf9adc729900865109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15527",
    "kind": "arxiv",
    "version": 1
  }
}