Pith Number

pith:UNZUUTUR

pith:2012:UNZUUTUR3ZPBLABZDTB4ZKN5BL

not attested not anchored not stored refs pending

On supercyclicity of operators from a supercyclic semigroup

Stanislav Shkarin

arxiv:1209.0976 v1 · 2012-09-05 · 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{UNZUUTUR3ZPBLABZDTB4ZKN5BL}

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	2026-05-18T03:46:15.762915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3734a4e91de5e1580391cc3cca9bd0ac84e09cbe16827405549e60080678fc7

Aliases

arxiv: 1209.0976 · arxiv_version: 1209.0976v1 · doi: 10.48550/arxiv.1209.0976 · pith_short_12: UNZUUTUR3ZPB · pith_short_16: UNZUUTUR3ZPBLABZ · pith_short_8: UNZUUTUR

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/UNZUUTUR3ZPBLABZDTB4ZKN5BL \
  | 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: a3734a4e91de5e1580391cc3cca9bd0ac84e09cbe16827405549e60080678fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c4fed0becd6c2bb53615f5a1d4cf706a8f02b1544772542e045685fdc556b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-05T13:50:38Z",
    "title_canon_sha256": "c01e308c02394fd70a014de948631d9d39ca1c67136180b137c3bafad0b1c3cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0976",
    "kind": "arxiv",
    "version": 1
  }
}