Pith Number

pith:2OPTWGDC

pith:2017:2OPTWGDC2PZFCXMHH7KHOTF33G

not attested not anchored not stored refs pending

On periodicity and hypercyclic weighted translation operators

Kui-Yo Chen

arxiv:1711.11173 v2 · 2017-11-30 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OPTWGDC2PZFCXMHH7KHOTF33G}

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	2026-05-18T00:08:36.215385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39f3b1862d3f2515d873fd4774cbbd9a06d01223c130dced1dd033c6e3f5db3

Aliases

arxiv: 1711.11173 · arxiv_version: 1711.11173v2 · doi: 10.48550/arxiv.1711.11173 · pith_short_12: 2OPTWGDC2PZF · pith_short_16: 2OPTWGDC2PZFCXMH · pith_short_8: 2OPTWGDC

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/2OPTWGDC2PZFCXMHH7KHOTF33G \
  | 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: d39f3b1862d3f2515d873fd4774cbbd9a06d01223c130dced1dd033c6e3f5db3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47b26ff281a2e14a28bd2cabeb5d80cd2dc92a42a0506c09a6bbb47820656b4",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-30T01:15:25Z",
    "title_canon_sha256": "efdb5951bf38882b934a8a3d4c7e4a44011b895a3cccc9768aec8d35a9341a66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11173",
    "kind": "arxiv",
    "version": 2
  }
}