Pith Number

pith:OQJULISX

pith:2010:OQJULISXSGANO4NODAMTRL6RH2

not attested not anchored not stored refs pending

Riesz transform characterization of H^1 spaces associated with certain Laguerre expansions

Marcin Preisner

arxiv:1002.3319 v3 · 2010-02-17 · 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{OQJULISXSGANO4NODAMTRL6RH2}

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	2026-05-18T04:07:40.809412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

741345a2579180d771ae181938afd13e8b5321005b7d163a286289cb42484847

Aliases

arxiv: 1002.3319 · arxiv_version: 1002.3319v3 · doi: 10.48550/arxiv.1002.3319 · pith_short_12: OQJULISXSGAN · pith_short_16: OQJULISXSGANO4NO · pith_short_8: OQJULISX

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/OQJULISXSGANO4NODAMTRL6RH2 \
  | 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: 741345a2579180d771ae181938afd13e8b5321005b7d163a286289cb42484847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82668cf9245b68c8923d5bce2c682e62122e840a05aa6fa3233997330c4f633",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-17T17:27:42Z",
    "title_canon_sha256": "bab68189cd7e911f69a72695acc7daf38464a0129fa77d7a61b1dc8a4c29a81f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3319",
    "kind": "arxiv",
    "version": 3
  }
}