Pith Number

pith:IJ2YGQDA

pith:2013:IJ2YGQDAEG3IKVSTJHC4JTP4SZ

not attested not anchored not stored refs pending

A characterization of Hardy spaces associated with certain Schr\"odinger operators

Jacek Dziuba\'nski, Jacek Zienkiewicz

arxiv:1310.2262 v1 · 2013-10-08 · 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{IJ2YGQDAEG3IKVSTJHC4JTP4SZ}

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	2026-05-18T03:10:57.480406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427583406021b685565349c5c4cdfc964593920eab21fa47ce9285611ee7eade

Aliases

arxiv: 1310.2262 · arxiv_version: 1310.2262v1 · doi: 10.48550/arxiv.1310.2262 · pith_short_12: IJ2YGQDAEG3I · pith_short_16: IJ2YGQDAEG3IKVST · pith_short_8: IJ2YGQDA

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/IJ2YGQDAEG3IKVSTJHC4JTP4SZ \
  | 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: 427583406021b685565349c5c4cdfc964593920eab21fa47ce9285611ee7eade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b94f8dffb7964d5f538469513bf41b255d2340b362d61b1fe6eb59e8dbf8d040",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-08T20:12:44Z",
    "title_canon_sha256": "a651fd47daa1f21def839116504b8c2c4a84258fdd26fe5d7ecaf6e2b0f41042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2262",
    "kind": "arxiv",
    "version": 1
  }
}