Pith Number

pith:GQ3LYWUD

pith:2013:GQ3LYWUDXATR7EEOAN5INRL7PM

not attested not anchored not stored refs pending

Difference sets and frequently hypercyclic weighted shifts

Fr\'ed\'eric Bayart, Imre Ruzsa

arxiv:1305.2325 v1 · 2013-05-10 · 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{GQ3LYWUDXATR7EEOAN5INRL7PM}

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	2026-05-17T23:53:17.526364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3436bc5a83b8271f908e037a86c57f7b04afbb3fee217f62d1c82a8d06f758c0

Aliases

arxiv: 1305.2325 · arxiv_version: 1305.2325v1 · doi: 10.48550/arxiv.1305.2325 · pith_short_12: GQ3LYWUDXATR · pith_short_16: GQ3LYWUDXATR7EEO · pith_short_8: GQ3LYWUD

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/GQ3LYWUDXATR7EEOAN5INRL7PM \
  | 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: 3436bc5a83b8271f908e037a86c57f7b04afbb3fee217f62d1c82a8d06f758c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fee3cf9c0694d7a73b5b76de8039f2b78033d2490a8a3adc53422580d8fa586",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-10T12:18:32Z",
    "title_canon_sha256": "c3530db9918c46f3db771fd81cc8e629c5c94904315f2304519e187a160302e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2325",
    "kind": "arxiv",
    "version": 1
  }
}