Pith Number

pith:GCQ4SPXM

pith:2010:GCQ4SPXME5OZR3TG47ABEHHPQE

not attested not anchored not stored refs pending

On Riesz transforms characterization of H^1 spaces associated with some Schr\"odinger operators

Jacek Dziuba\'nski, Marcin Preisner

arxiv:1006.5189 v1 · 2010-06-27 · 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{GCQ4SPXME5OZR3TG47ABEHHPQE}

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	2026-05-18T04:12:19.321295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a1c93eec275d98ee66e7c0121cef81084111bdebe53be14019719288004a23

Aliases

arxiv: 1006.5189 · arxiv_version: 1006.5189v1 · doi: 10.48550/arxiv.1006.5189 · pith_short_12: GCQ4SPXME5OZ · pith_short_16: GCQ4SPXME5OZR3TG · pith_short_8: GCQ4SPXM

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/GCQ4SPXME5OZR3TG47ABEHHPQE \
  | 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: 30a1c93eec275d98ee66e7c0121cef81084111bdebe53be14019719288004a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43964e7e1014b82e401b378f123a7eb8f8077a5428f186327819faf3a4e6951f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-27T09:16:35Z",
    "title_canon_sha256": "17a7ac53cdaffa71ede07ed0a15716073510e75d7290e120574970efd246ae1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5189",
    "kind": "arxiv",
    "version": 1
  }
}