Pith Number

pith:7QRO6KAV

pith:2010:7QRO6KAVJ2R6SXQI73VFCJMIMH

not attested not anchored not stored refs pending

$L^2$-norm and estimates from below for Riesz transforms on Cantor sets

Alexander Volberg, Vladimir Eiderman

arxiv:1012.0941 v1 · 2010-12-04 · 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{7QRO6KAVJ2R6SXQI73VFCJMIMH}

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	2026-05-18T04:34:08.378281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc22ef28154ea3e95e08feea51258861eed0cbe6df824a7f96e1ab1e66c9a0f2

Aliases

arxiv: 1012.0941 · arxiv_version: 1012.0941v1 · doi: 10.48550/arxiv.1012.0941 · pith_short_12: 7QRO6KAVJ2R6 · pith_short_16: 7QRO6KAVJ2R6SXQI · pith_short_8: 7QRO6KAV

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/7QRO6KAVJ2R6SXQI73VFCJMIMH \
  | 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: fc22ef28154ea3e95e08feea51258861eed0cbe6df824a7f96e1ab1e66c9a0f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ddb174a9c7157ffcf50fa9bb6ffcd53427ee37cb1b37892025a8ca50b29319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-04T19:41:42Z",
    "title_canon_sha256": "b0f74cea5f6ba6b26457e8703b209b381753a506de024a2d18aa9b13506db6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0941",
    "kind": "arxiv",
    "version": 1
  }
}