Pith Number

pith:7ZVR4TFC

pith:2011:7ZVR4TFC2IDIAHYCEZ3MREFQ7R

not attested not anchored not stored refs pending

Hardy spaces related to Schr\"odinger operators with potentials which are sums of L^p-functions

Jacek Dziuba\'nski, Marcin Preisner

arxiv:1109.5626 v1 · 2011-09-26 · 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{7ZVR4TFC2IDIAHYCEZ3MREFQ7R}

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	2026-05-18T04:12:19.069958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6b1e4ca2d206801f022676c890b0fc4f1135cb34cecce7bf80a2ea6dd326b6

Aliases

arxiv: 1109.5626 · arxiv_version: 1109.5626v1 · doi: 10.48550/arxiv.1109.5626 · pith_short_12: 7ZVR4TFC2IDI · pith_short_16: 7ZVR4TFC2IDIAHYC · pith_short_8: 7ZVR4TFC

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/7ZVR4TFC2IDIAHYCEZ3MREFQ7R \
  | 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: fe6b1e4ca2d206801f022676c890b0fc4f1135cb34cecce7bf80a2ea6dd326b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737ec8ea85e4fc8b6956e36debd9842a966bc73a574c3a71218b406e42874be8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-26T16:25:55Z",
    "title_canon_sha256": "20df461e7ac1b3a7a79b4bf8f62dc64e3f12305c408d35e98b72a05777b4487a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5626",
    "kind": "arxiv",
    "version": 1
  }
}