Pith Number

pith:5YE772E3

pith:2016:5YE772E3RAUAX3ADZZBLCD7EHK

not attested not anchored not stored refs pending

Upper frequent hypercyclicity and related notions

Antonio Bonilla, Karl-G. Grosse-Erdmann

arxiv:1601.07276 v1 · 2016-01-27 · 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{5YE772E3RAUAX3ADZZBLCD7EHK}

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	2026-05-18T01:21:46.240090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee09ffe89b88280bec03ce42b10fe43ab59b8e9391156fab24b551f016472dac

Aliases

arxiv: 1601.07276 · arxiv_version: 1601.07276v1 · doi: 10.48550/arxiv.1601.07276 · pith_short_12: 5YE772E3RAUA · pith_short_16: 5YE772E3RAUAX3AD · pith_short_8: 5YE772E3

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/5YE772E3RAUAX3ADZZBLCD7EHK \
  | 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: ee09ffe89b88280bec03ce42b10fe43ab59b8e9391156fab24b551f016472dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74dfd03671b2fe356513f14f8e996e4803ed3680cefa92523fbf79360fcdf57b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-27T06:52:08Z",
    "title_canon_sha256": "ec5658e9da01c3e014b99b45047d08d18243a33277aa6effaf16cd2f0b0c95c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07276",
    "kind": "arxiv",
    "version": 1
  }
}