Pith Number

pith:5HJSO24T

pith:2011:5HJSO24TASQAET7UZL2B3BAP5S

not attested not anchored not stored refs pending

$L^p$ estimates for the Hilbert transforms along a one-variable vector field

Christoph Thiele, Michael Bateman

arxiv:1109.6396 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{5HJSO24TASQAET7UZL2B3BAP5S}

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	2026-05-18T01:22:28.904140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d3276b9304a0024ff4caf41d840fec9eefd922d8b4ce48946336fb6b6194fb

Aliases

arxiv: 1109.6396 · arxiv_version: 1109.6396v1 · doi: 10.48550/arxiv.1109.6396 · pith_short_12: 5HJSO24TASQA · pith_short_16: 5HJSO24TASQAET7U · pith_short_8: 5HJSO24T

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/5HJSO24TASQAET7UZL2B3BAP5S \
  | 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: e9d3276b9304a0024ff4caf41d840fec9eefd922d8b4ce48946336fb6b6194fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22fb968a538f0e67cf6d970777edbeea2d97f859853002da4136bda964664c02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-09-29T04:31:42Z",
    "title_canon_sha256": "bcf1f29a024ba47c00d2da5c23017359fb220002be7e55bf6f10c76c248480df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6396",
    "kind": "arxiv",
    "version": 1
  }
}