Pith Number

pith:LOXAPHYQ

pith:2025:LOXAPHYQY6CZLZZU5AUNBNWRWZ

not attested not anchored not stored refs pending

A class of linear operators on Bergman spaces

Antti Rasila, Senhua Zhu, Zengjian Lou

arxiv:2507.09154 v1 · 2025-07-12 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOXAPHYQY6CZLZZU5AUNBNWRWZ}

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	2026-07-05T11:36:04.595272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bae079f10c78595e734e828d0b6d1b66fc97a1c9e52ac6ac36129a1cccb3a9a

Aliases

arxiv: 2507.09154 · arxiv_version: 2507.09154v1 · doi: 10.48550/arxiv.2507.09154 · pith_short_12: LOXAPHYQY6CZ · pith_short_16: LOXAPHYQY6CZLZZU · pith_short_8: LOXAPHYQ

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/LOXAPHYQY6CZLZZU5AUNBNWRWZ \
  | 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: 5bae079f10c78595e734e828d0b6d1b66fc97a1c9e52ac6ac36129a1cccb3a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b9d963013a7d3a7030daf8003c25199e435f055c8fffab550b533b7a5770c3",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-07-12T06:15:44Z",
    "title_canon_sha256": "5cc15fc70dc6c2e5639705b89653b883e715b3668d412efdedca1f9129dfd216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09154",
    "kind": "arxiv",
    "version": 1
  }
}