Pith Number

pith:BJI4YJCT

pith:2018:BJI4YJCTD5XODHWVMVMRFXRQVD

not attested not anchored not stored refs pending

Riesz products and spectral decompositions for rank 1 measure preserving transformations

Yury A. Neretin

arxiv:1806.10884 v2 · 2018-06-28 · math.DS · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJI4YJCTD5XODHWVMVMRFXRQVD}

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	2026-05-17T23:42:49.896105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a51cc24531f6ee19ed5655912de30a8ea790d0bf50c9e8aa0e3f09618279c69

Aliases

arxiv: 1806.10884 · arxiv_version: 1806.10884v2 · doi: 10.48550/arxiv.1806.10884 · pith_short_12: BJI4YJCTD5XO · pith_short_16: BJI4YJCTD5XODHWV · pith_short_8: BJI4YJCT

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/BJI4YJCTD5XODHWVMVMRFXRQVD \
  | 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: 0a51cc24531f6ee19ed5655912de30a8ea790d0bf50c9e8aa0e3f09618279c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a823e05792cd0c94f25cc77dfc22f2c5a679bc9b003f668fa291ff4a16a3a8",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-28T11:20:20Z",
    "title_canon_sha256": "3d5e0df3e6a70ce34b8b3e9a0edc59828e19ed5200d5041792d59558bc12f3d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10884",
    "kind": "arxiv",
    "version": 2
  }
}