Pith Number

pith:ROOSG4ET

pith:2024:ROOSG4ETYARYJGAAGZYTZ2KDM2

not attested not anchored not stored refs pending

Hypercyclic algebras for weighted shifts on trees

Arafat Abbar, Fernando Costa Jr

arxiv:2411.14609 v1 · 2024-11-21 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROOSG4ETYARYJGAAGZYTZ2KDM2}

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	2026-07-05T09:38:53.912642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b9d237093c02384980036713ce94366a1ecb3b2294fc35f1f1864ebefef5b31

Aliases

arxiv: 2411.14609 · arxiv_version: 2411.14609v1 · doi: 10.48550/arxiv.2411.14609 · pith_short_12: ROOSG4ETYARY · pith_short_16: ROOSG4ETYARYJGAA · pith_short_8: ROOSG4ET

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/ROOSG4ETYARYJGAAGZYTZ2KDM2 \
  | 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: 8b9d237093c02384980036713ce94366a1ecb3b2294fc35f1f1864ebefef5b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a46ec820a282bca867b5fcde1ce810cbb3dbeaf4ed3a173a86567dcaef2df1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-21T22:16:42Z",
    "title_canon_sha256": "71c0df60e122c40e446a32282514a75325782c82b3d74a9e381a5be909815e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14609",
    "kind": "arxiv",
    "version": 1
  }
}