Pith Number

pith:MBKZDFYZ

pith:2025:MBKZDFYZBZHIM7P6AMFKGDERCB

not attested not anchored not stored refs pending

Composition Operators and Rational Inner Functions II: Boundedness between two different Bergman Spaces

Athanasios Beslikas

arxiv:2509.04366 v1 · 2025-09-04 · 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{MBKZDFYZBZHIM7P6AMFKGDERCB}

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.

Cited by

1 paper in Pith

Compactness of composition operator on weighted Bergman spaces of the polydisc

Receipt and verification

First computed	2026-07-05T12:04:58.339185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60559197190e4e867dfe030aa30c9110524a2086bd159222ec04c71bb79a75a7

Aliases

arxiv: 2509.04366 · arxiv_version: 2509.04366v1 · doi: 10.48550/arxiv.2509.04366 · pith_short_12: MBKZDFYZBZHI · pith_short_16: MBKZDFYZBZHIM7P6 · pith_short_8: MBKZDFYZ

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/MBKZDFYZBZHIM7P6AMFKGDERCB \
  | 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: 60559197190e4e867dfe030aa30c9110524a2086bd159222ec04c71bb79a75a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f171d550faece7ac58122b476a397898f9ab9801d6329e759dbb5d77d723ce99",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-09-04T16:26:04Z",
    "title_canon_sha256": "164fd7f7e4f92a96a0d471e74fb8c6033b911da3076a2fb91a3d2cc8d661a8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04366",
    "kind": "arxiv",
    "version": 1
  }
}