Pith Number

pith:AHMWK4KX

pith:2017:AHMWK4KXFFGLSLKJM5LPYAG7DI

not attested not anchored not stored refs pending

On hypercyclic rank one perturbations of unitary operators

Andrei Lishanskii, Anton Baranov, Vladimir Kapustin

arxiv:1711.09479 v1 · 2017-11-26 · 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{AHMWK4KXFFGLSLKJM5LPYAG7DI}

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	2026-05-18T00:29:35.389986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d9657157294cb92d496756fc00df1a02f059af8b28cea3501ec38dd776acb5

Aliases

arxiv: 1711.09479 · arxiv_version: 1711.09479v1 · doi: 10.48550/arxiv.1711.09479 · pith_short_12: AHMWK4KXFFGL · pith_short_16: AHMWK4KXFFGLSLKJ · pith_short_8: AHMWK4KX

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/AHMWK4KXFFGLSLKJM5LPYAG7DI \
  | 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: 01d9657157294cb92d496756fc00df1a02f059af8b28cea3501ec38dd776acb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "198b86de40c2b022efe711367b1b2070adcf882aa455d64b29001ce562f020ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-26T22:50:34Z",
    "title_canon_sha256": "48e42ef80a0ef6a8e9a666858bc57586a78a8dadc454f1c134aba630144f5127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09479",
    "kind": "arxiv",
    "version": 1
  }
}