Pith Number

pith:WZVGBPII

pith:2012:WZVGBPIIEN6FYPHFA4GNDXEGZO

not attested not anchored not stored refs pending

$n$-supercyclic and strongly $n$-supercyclic operators in finite dimensions

Romuald Ernst

arxiv:1205.3575 v3 · 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{WZVGBPIIEN6FYPHFA4GNDXEGZO}

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	2026-05-18T03:03:21.351941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b66a60bd08237c5c3ce5070cd1dc86cb807b53a7ef532c844bf7e0013e0d6481

Aliases

arxiv: 1205.3575 · arxiv_version: 1205.3575v3 · doi: 10.48550/arxiv.1205.3575 · pith_short_12: WZVGBPIIEN6F · pith_short_16: WZVGBPIIEN6FYPHF · pith_short_8: WZVGBPII

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/WZVGBPIIEN6FYPHFA4GNDXEGZO \
  | 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: b66a60bd08237c5c3ce5070cd1dc86cb807b53a7ef532c844bf7e0013e0d6481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d66a5e290cb72cc15c9d21a6c15420b005bbddb7a4fbc703bbc98fc6eb13dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-16T06:54:30Z",
    "title_canon_sha256": "2ea189bbee09194ae0b5145f2750d47d37ba8f3c6ce4daf0fbecadb92a80ee61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3575",
    "kind": "arxiv",
    "version": 3
  }
}