Pith Number

pith:NVQJDR3U

pith:2013:NVQJDR3URSPOJG5ERVV3W6SM22

not attested not anchored not stored refs pending

On numerically hypercyclic operators

Stanislav Shkarin

arxiv:1302.2483 v1 · 2013-02-11 · 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{NVQJDR3URSPOJG5ERVV3W6SM22}

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	2026-05-18T03:34:00.995269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d6091c7748c9ee49ba48d6bbb7a4cd6bb28aae535fc609bcd28822bc7d4e8ae

Aliases

arxiv: 1302.2483 · arxiv_version: 1302.2483v1 · doi: 10.48550/arxiv.1302.2483 · pith_short_12: NVQJDR3URSPO · pith_short_16: NVQJDR3URSPOJG5E · pith_short_8: NVQJDR3U

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/NVQJDR3URSPOJG5ERVV3W6SM22 \
  | 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: 6d6091c7748c9ee49ba48d6bbb7a4cd6bb28aae535fc609bcd28822bc7d4e8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c4522a1ff929fbb6518f6af0c70797a65c7db01cfc26cd453b2bedad818e22",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-11T14:16:06Z",
    "title_canon_sha256": "8235299ba00e530fd4c8058218bf22d77fff8e809d2a97bcd7342fabb34a216e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2483",
    "kind": "arxiv",
    "version": 1
  }
}