Pith Number

pith:2QPJRHU5

pith:2019:2QPJRHU5ZTZOEE35KW2DXJYNUX

not attested not anchored not stored refs pending

A bridge between U-frequent hypercyclicity and frequent hypercyclicity

Quentin Menet

arxiv:1904.04818 v2 · 2019-04-09 · math.DS · 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{2QPJRHU5ZTZOEE35KW2DXJYNUX}

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	2026-05-17T23:48:49.821586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d41e989e9dccf2e2137d55b43ba70da5ca26716fa17b6e8a9ea2fdefad2f6b9f

Aliases

arxiv: 1904.04818 · arxiv_version: 1904.04818v2 · doi: 10.48550/arxiv.1904.04818 · pith_short_12: 2QPJRHU5ZTZO · pith_short_16: 2QPJRHU5ZTZOEE35 · pith_short_8: 2QPJRHU5

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/2QPJRHU5ZTZOEE35KW2DXJYNUX \
  | 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: d41e989e9dccf2e2137d55b43ba70da5ca26716fa17b6e8a9ea2fdefad2f6b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf5e4ec6b228c7e7aaecea6a928d670e33050d5e1863ff82c9260ac105d072a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-09T17:57:22Z",
    "title_canon_sha256": "d883af401d2050f3201e89f7af0edcd8c8c239843859d29d38850b1172b2158d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04818",
    "kind": "arxiv",
    "version": 2
  }
}