Pith Number

pith:YOVX5T7L

pith:2016:YOVX5T7LPLXNNBN2IH5UEZGMII

not attested not anchored not stored refs pending

Hardy spaces for Bessel-Schr\"odinger operators

Edyta Kania, Marcin Preisner

arxiv:1603.07685 v2 · 2016-03-23 · math.CA · math.AP · 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{YOVX5T7LPLXNNBN2IH5UEZGMII}

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	2026-05-18T00:35:10.785048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ab7ecfeb7aeed685ba41fb4264cc4219059bf8287c148baaa6f85771d20611

Aliases

arxiv: 1603.07685 · arxiv_version: 1603.07685v2 · doi: 10.48550/arxiv.1603.07685 · pith_short_12: YOVX5T7LPLXN · pith_short_16: YOVX5T7LPLXNNBN2 · pith_short_8: YOVX5T7L

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/YOVX5T7LPLXNNBN2IH5UEZGMII \
  | 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: c3ab7ecfeb7aeed685ba41fb4264cc4219059bf8287c148baaa6f85771d20611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe55c4edd1288116d3cefd2e117577529ee575606543a893010812c6f420b7b",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-23T13:53:42Z",
    "title_canon_sha256": "72ae91a364dc0072697693f88b7d187e18a88a8b853447f108021f32698376b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07685",
    "kind": "arxiv",
    "version": 2
  }
}