Pith Number

pith:PDTPJD7X

pith:2011:PDTPJD7XYUM575F7QU4AQJ6LL5

not attested not anchored not stored refs pending

Characterization of Carleson measures by the Hausdorff-Young property

Sergey Sadov

arxiv:1111.4603 v1 · 2011-11-20 · 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{PDTPJD7XYUM575F7QU4AQJ6LL5}

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	2026-05-18T03:03:57.106947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e6f48ff7c519dff4bf85380827cb5f77c9795f1adfdb70537b29644edd3fe7

Aliases

arxiv: 1111.4603 · arxiv_version: 1111.4603v1 · doi: 10.48550/arxiv.1111.4603 · pith_short_12: PDTPJD7XYUM5 · pith_short_16: PDTPJD7XYUM575F7 · pith_short_8: PDTPJD7X

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/PDTPJD7XYUM575F7QU4AQJ6LL5 \
  | 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: 78e6f48ff7c519dff4bf85380827cb5f77c9795f1adfdb70537b29644edd3fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbbcbe6211960b9a793e40716633f57608be875af5ed75a9964dafb16d9b93f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-20T03:12:15Z",
    "title_canon_sha256": "4f9f195bff979921b643bb3d65f6d5d973e0326e061d3bd6ad7f635ef5f65b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4603",
    "kind": "arxiv",
    "version": 1
  }
}