Pith Number

pith:23OPK4XQ

pith:2024:23OPK4XQUG7NY7UHO5VWME7GS6

not attested not anchored not stored refs pending

Composition operators and Rational Inner Functions on the bidisc

Athanasios Beslikas

arxiv:2412.16593 v3 · 2024-12-21 · 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{23OPK4XQUG7NY7UHO5VWME7GS6}

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	2026-07-05T10:20:18.206055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6dcf572f0a1bedc7e87776b6613e697873665debe977edecaa03762136c5870

Aliases

arxiv: 2412.16593 · arxiv_version: 2412.16593v3 · doi: 10.48550/arxiv.2412.16593 · pith_short_12: 23OPK4XQUG7N · pith_short_16: 23OPK4XQUG7NY7UH · pith_short_8: 23OPK4XQ

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/23OPK4XQUG7NY7UHO5VWME7GS6 \
  | 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: d6dcf572f0a1bedc7e87776b6613e697873665debe977edecaa03762136c5870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fd0997c64598cae280fe5a8ac4b80be43e722d526e1d7bcad40a53a5bdb7002",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-12-21T11:51:19Z",
    "title_canon_sha256": "d1138bc8ae9a1b4969e369e892bdded62c2d6d2ab2daf092c87ce12cfaff7310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16593",
    "kind": "arxiv",
    "version": 3
  }
}