Pith Number

pith:KVC66URT

pith:2013:KVC66URTDJKQHMZGCOTDAF4ESJ

not attested not anchored not stored refs pending

Ratner's property for special flows over irrational rotations under functions of bounded variation

Adam Kanigowski

arxiv:1302.3429 v1 · 2013-02-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVC66URTDJKQHMZGCOTDAF4ESJ}

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	2026-05-18T03:33:38.956592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5545ef52331a5503b32613a6301784924f06a39a6a83312c023fb8c2d81750e2

Aliases

arxiv: 1302.3429 · arxiv_version: 1302.3429v1 · doi: 10.48550/arxiv.1302.3429 · pith_short_12: KVC66URTDJKQ · pith_short_16: KVC66URTDJKQHMZG · pith_short_8: KVC66URT

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/KVC66URTDJKQHMZGCOTDAF4ESJ \
  | 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: 5545ef52331a5503b32613a6301784924f06a39a6a83312c023fb8c2d81750e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5bdc1a1ca63f055ad5249425cd2191c28b54e6d525e15147a0ec9c3cd9a9b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-14T15:22:50Z",
    "title_canon_sha256": "2577b7d21213e6884836c128ed6873f2c7674c8a72f0d2ff5051e493ded70144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3429",
    "kind": "arxiv",
    "version": 1
  }
}