Pith Number

pith:5VGKJNZT

pith:2012:5VGKJNZTZUUEIRGGSL2VF2UXU6

not attested not anchored not stored refs pending

Strongly $n$-supercyclic operators

Romuald Ernst

arxiv:1205.3574 v2 · 2012-05-16 · 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{5VGKJNZTZUUEIRGGSL2VF2UXU6}

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	2026-05-18T03:03:21.358775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4ca4b733cd284444c692f552ea97a79dcf1411489a8588796a452e0d43dfb3

Aliases

arxiv: 1205.3574 · arxiv_version: 1205.3574v2 · doi: 10.48550/arxiv.1205.3574 · pith_short_12: 5VGKJNZTZUUE · pith_short_16: 5VGKJNZTZUUEIRGG · pith_short_8: 5VGKJNZT

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/5VGKJNZTZUUEIRGGSL2VF2UXU6 \
  | 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: ed4ca4b733cd284444c692f552ea97a79dcf1411489a8588796a452e0d43dfb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "902c2926e325114dc751b575a9debe857a327f08cbedebe32de16abb7f351e5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-16T06:53:23Z",
    "title_canon_sha256": "2bb9174df824b7f34dc2ec321f307543aba4ad6b2e88b7321d9578651cd64b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3574",
    "kind": "arxiv",
    "version": 2
  }
}