Pith Number

pith:SAKSBLTZ

pith:2011:SAKSBLTZ644ZSS3SKEDE3LSUNM

not attested not anchored not stored refs pending

Single annulus $L^p$ estimates for Hilbert transforms along vector fields

Michael Bateman

arxiv:1109.6395 v1 · 2011-09-29 · 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{SAKSBLTZ644ZSS3SKEDE3LSUNM}

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	2026-05-18T04:12:01.636110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901520ae79f739994b7251064dae546b00ad508ae16594e30d79196f06d95e0b

Aliases

arxiv: 1109.6395 · arxiv_version: 1109.6395v1 · doi: 10.48550/arxiv.1109.6395 · pith_short_12: SAKSBLTZ644Z · pith_short_16: SAKSBLTZ644ZSS3S · pith_short_8: SAKSBLTZ

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/SAKSBLTZ644ZSS3SKEDE3LSUNM \
  | 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: 901520ae79f739994b7251064dae546b00ad508ae16594e30d79196f06d95e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e8bd3d989c72e5c1af8628fc703787fe716ffc81f87e528a401fe4e16728e2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-29T04:27:48Z",
    "title_canon_sha256": "b2f790218127f3411857d509a173103e3c3b7c2d82dd2e7d4115b77a7fe0db21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6395",
    "kind": "arxiv",
    "version": 1
  }
}