Pith Number

pith:D3LSZ4OX

pith:2014:D3LSZ4OX6IKQHIPYX2G3H5XRX4

not attested not anchored not stored refs pending

A Note on Operator Semigroups Associated to Chaotic Flows

Oliver Butterley

arxiv:1403.5149 v2 · 2014-03-20 · 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{D3LSZ4OX6IKQHIPYX2G3H5XRX4}

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	2026-05-17T23:53:35.021505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed72cf1d7f21503a1f8be8db3f6f1bf19e1bd82d8f2acb66393cc20b8e1d399

Aliases

arxiv: 1403.5149 · arxiv_version: 1403.5149v2 · doi: 10.48550/arxiv.1403.5149 · pith_short_12: D3LSZ4OX6IKQ · pith_short_16: D3LSZ4OX6IKQHIPY · pith_short_8: D3LSZ4OX

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/D3LSZ4OX6IKQHIPYX2G3H5XRX4 \
  | 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: 1ed72cf1d7f21503a1f8be8db3f6f1bf19e1bd82d8f2acb66393cc20b8e1d399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11d7fd73e0f4bf7ceb4eda99f9b2fc621f2a940557ac0f790cbf910b9cab1b6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-20T14:38:06Z",
    "title_canon_sha256": "f8ea51d4c66795c952b57b4f85dfcaaf04762fb2c822c16ef1b0507926f43152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5149",
    "kind": "arxiv",
    "version": 2
  }
}