Pith Number

pith:CAU32FEO

pith:2025:CAU32FEO3VXVFJ6YC2QAP5DJNJ

not attested not anchored not stored refs pending

On the complexity of upper frequently hypercyclic vectors

Paolo Leonetti, Szymon Glab

arxiv:2506.22341 v1 · 2025-06-27 · math.FA · math.CA · math.DS · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAU32FEO3VXVFJ6YC2QAP5DJNJ}

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	2026-07-05T11:28:25.506636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1029bd148edd6f52a7d816a007f4696a6fa44b085956bd6f5f868505c6107634

Aliases

arxiv: 2506.22341 · arxiv_version: 2506.22341v1 · doi: 10.48550/arxiv.2506.22341 · pith_short_12: CAU32FEO3VXV · pith_short_16: CAU32FEO3VXVFJ6Y · pith_short_8: CAU32FEO

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/CAU32FEO3VXVFJ6YC2QAP5DJNJ \
  | 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: 1029bd148edd6f52a7d816a007f4696a6fa44b085956bd6f5f868505c6107634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfbdfd01716151d592197bedc3959503a9a25a53c1f73300cd01479e8975e0e8",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-27T15:51:22Z",
    "title_canon_sha256": "3cd8f06265c342612020be42eddaa841831f894b7d2e7de9888f8064fcda875e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22341",
    "kind": "arxiv",
    "version": 1
  }
}