Pith Number

pith:25RPP4O2

pith:2015:25RPP4O2WF2WSA6ERPDLXSKEFV

not attested not anchored not stored refs pending

Every Borel automorphism without finite invariant measures admits a two-set generator

Michael Hochman

arxiv:1508.02335 v2 · 2015-08-10 · 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{25RPP4O2WF2WSA6ERPDLXSKEFV}

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	2026-05-18T00:43:03.244170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d762f7f1dab1756903c48bc6bbc9442d54cb39c032df7616cc8985710689a2b4

Aliases

arxiv: 1508.02335 · arxiv_version: 1508.02335v2 · doi: 10.48550/arxiv.1508.02335 · pith_short_12: 25RPP4O2WF2W · pith_short_16: 25RPP4O2WF2WSA6E · pith_short_8: 25RPP4O2

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/25RPP4O2WF2WSA6ERPDLXSKEFV \
  | 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: d762f7f1dab1756903c48bc6bbc9442d54cb39c032df7616cc8985710689a2b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c28c195b4da39e6fc23b00c4e63519d40be7751874193747df3db15d3911b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-10T17:58:32Z",
    "title_canon_sha256": "5293a03d6f8a5844d9160ce85c699841715f42ded72d545436ebd2043c8b9c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02335",
    "kind": "arxiv",
    "version": 2
  }
}