Pith Number

pith:TQM3FLKO

pith:2025:TQM3FLKOJXT27BCHOQYVMMLGBS

not attested not anchored not stored refs pending

On the Dynamics of Weighted Composition Operators II

Antonio Bonilla, Jo\~ao V. A. Pinto, Nilson C. Bernardes Jr.

arxiv:2512.06425 v2 · 2025-12-06 · math.DS · 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{TQM3FLKOJXT27BCHOQYVMMLGBS}

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	2026-06-02T01:03:39.163444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c19b2ad4e4de7af844774315631660c83f20b769032f52d64c69540fff137c5

Aliases

arxiv: 2512.06425 · arxiv_version: 2512.06425v2 · doi: 10.48550/arxiv.2512.06425 · pith_short_12: TQM3FLKOJXT2 · pith_short_16: TQM3FLKOJXT27BCH · pith_short_8: TQM3FLKO

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/TQM3FLKOJXT27BCHOQYVMMLGBS \
  | 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: 9c19b2ad4e4de7af844774315631660c83f20b769032f52d64c69540fff137c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd33bd86c9817a6acf83a92fa14abfd8a4f7e6a61c65dea595a7405d170ba7b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-12-06T13:12:06Z",
    "title_canon_sha256": "441b109f3e72a1d67b87760e64b8d6311078935fb3715d2f4fd19d0abbde0d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06425",
    "kind": "arxiv",
    "version": 2
  }
}