Pith Number

pith:CAXPYIB6

pith:2026:CAXPYIB6JVWJWIRPSYSHMHHYOB

not attested not anchored not stored refs pending

Sharp estimates for the Fourier transform of surface-carried measures and maximal operators associated with hypersurfaces in $\mathbb{R}^4$ with vanishing Gaussian curvature

Gayrat Toshpulatov, Isroil A. Ikromov

arxiv:2602.18163 v2 · 2026-02-20 · 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{CAXPYIB6JVWJWIRPSYSHMHHYOB}

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	2026-05-27T01:05:45.131740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102efc203e4d6c9b222f9624761cf87048ef82fc9dc1ae30a3e48f0a34617abf

Aliases

arxiv: 2602.18163 · arxiv_version: 2602.18163v2 · doi: 10.48550/arxiv.2602.18163 · pith_short_12: CAXPYIB6JVWJ · pith_short_16: CAXPYIB6JVWJWIRP · pith_short_8: CAXPYIB6

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/CAXPYIB6JVWJWIRPSYSHMHHYOB \
  | 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: 102efc203e4d6c9b222f9624761cf87048ef82fc9dc1ae30a3e48f0a34617abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38eb0ade79be0e6682f2ba1a730f1ef1b9bef29b68b7aa2d46fc9c41894609f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-02-20T11:57:29Z",
    "title_canon_sha256": "3c2e6c00e248e2373bfcc15092c2b0ba17bc00606c41731b98684e3104908071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.18163",
    "kind": "arxiv",
    "version": 2
  }
}