Pith Number

pith:UCVWXHHX

pith:2013:UCVWXHHX7MBK3ZPHAY7JZTXDKT

not attested not anchored not stored refs pending

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

Adam Kanigowski

arxiv:1307.8055 v1 · 2013-07-30 · 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{UCVWXHHX7MBK3ZPHAY7JZTXDKT}

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	2026-05-18T03:17:12.519573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ab6b9cf7fb02ade5e7063e9ccee354cef089f078073a9f8214cb54f0989d4c

Aliases

arxiv: 1307.8055 · arxiv_version: 1307.8055v1 · doi: 10.48550/arxiv.1307.8055 · pith_short_12: UCVWXHHX7MBK · pith_short_16: UCVWXHHX7MBK3ZPH · pith_short_8: UCVWXHHX

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/UCVWXHHX7MBK3ZPHAY7JZTXDKT \
  | 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: a0ab6b9cf7fb02ade5e7063e9ccee354cef089f078073a9f8214cb54f0989d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf0ea9a6577fae1ca43e29d7bbd38555a21b229e5786d045b4751c3fe36a852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-30T17:18:17Z",
    "title_canon_sha256": "c6a8f6ad2dfbc251bb4f5cfaef6ab47bb3f3fb184d86c62d406d367dbc46a637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8055",
    "kind": "arxiv",
    "version": 1
  }
}