Pith Number

pith:AJW6XXWZ

pith:1997:AJW6XXWZCKGGO2AF3GMS6JNWFO

not attested not anchored not stored refs pending

$L^p$ bounds for singular integrals and maximal singular integrals with rough kernels

Atanas Stefanov, Loukas Grafakos

arxiv:math/9710205 v1 · 1997-10-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJW6XXWZCKGGO2AF3GMS6JNWFO}

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	2026-05-18T01:05:34.734479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026debded9128c676805d9992f25b62baa76ec74d2c3ec0e4d45dadb8fe04e66

Aliases

arxiv: math/9710205 · arxiv_version: math/9710205v1 · doi: 10.48550/arxiv.math/9710205 · pith_short_12: AJW6XXWZCKGG · pith_short_16: AJW6XXWZCKGGO2AF · pith_short_8: AJW6XXWZ

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/AJW6XXWZCKGGO2AF3GMS6JNWFO \
  | 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: 026debded9128c676805d9992f25b62baa76ec74d2c3ec0e4d45dadb8fe04e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a14e9c5eda5c56c8ba22d386c4fa008e424f19a86a6bfd390f154eccb4c1496",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-10-05T00:00:00Z",
    "title_canon_sha256": "1148c354f5f595cad055a2a67daa11f912c11aaf846b27e55dd9879f76c125de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9710205",
    "kind": "arxiv",
    "version": 1
  }
}