Pith Number

pith:B77OCC7M

pith:2010:B77OCC7MU4DO567IKYO3AN4NHO

not attested not anchored not stored refs pending

A hypercyclic finite rank perturbation of a unitary operator

Stanislav Shkarin

arxiv:1008.3490 v1 · 2010-08-20 · 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{B77OCC7MU4DO567IKYO3AN4NHO}

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	2026-05-18T04:42:02.267309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ffee10beca706eefbe8561db0378d3b80d343693e601730ca96b204e29dfe84

Aliases

arxiv: 1008.3490 · arxiv_version: 1008.3490v1 · doi: 10.48550/arxiv.1008.3490 · pith_short_12: B77OCC7MU4DO · pith_short_16: B77OCC7MU4DO567I · pith_short_8: B77OCC7M

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/B77OCC7MU4DO567IKYO3AN4NHO \
  | 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: 0ffee10beca706eefbe8561db0378d3b80d343693e601730ca96b204e29dfe84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945aba414a75a65edb47f0f8f2ff9970fdd3d4ac25ac9f56a0ee46599a9ade71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-20T12:58:19Z",
    "title_canon_sha256": "ec9abebb6dbb625b6b2aabc722511805aa04b48aaaa8df6a070fd360fd5311d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3490",
    "kind": "arxiv",
    "version": 1
  }
}