Pith Number

pith:3ONZKD6I

pith:2011:3ONZKD6IGAGTKXYYXQ7SIFZFA7

not attested not anchored not stored refs pending

Hypercyclicity of convolution operators on spaces of entire functions

A. M. Jatob\'a, F. J. Bertoloto, G. Botelho, V. V. F\'avaro

arxiv:1101.3901 v1 · 2011-01-20 · 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{3ONZKD6IGAGTKXYYXQ7SIFZFA7}

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	2026-05-18T04:31:20.856093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9b950fc8300d355f18bc3f24172507c0c247133d744d72166fb7ca325de81d

Aliases

arxiv: 1101.3901 · arxiv_version: 1101.3901v1 · doi: 10.48550/arxiv.1101.3901 · pith_short_12: 3ONZKD6IGAGT · pith_short_16: 3ONZKD6IGAGTKXYY · pith_short_8: 3ONZKD6I

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/3ONZKD6IGAGTKXYYXQ7SIFZFA7 \
  | 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: db9b950fc8300d355f18bc3f24172507c0c247133d744d72166fb7ca325de81d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002fcc112255dcdd4bd449f6387e68dc670610ef6232adfbe6c0efb3282b18d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-20T13:38:40Z",
    "title_canon_sha256": "8d4adf238d31eb6c58cfd4d863437ea4ceeec618ba43ef1c399bb8d365a1f27b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3901",
    "kind": "arxiv",
    "version": 1
  }
}