Pith Number

pith:O32IQRZW

pith:2018:O32IQRZWI5DOMJKU453W3KK4LT

not attested not anchored not stored refs pending

Under- and over-independence in measure preserving systems

Terry Adams, Vitaly Bergelson, Wenbo Sun

arxiv:1807.02966 v2 · 2018-07-09 · 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{O32IQRZWI5DOMJKU453W3KK4LT}

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	2026-05-18T00:10:59.206074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f48847364746e62554e7776da95c5ceaf0510cd81f7112f92be8b5023c2317

Aliases

arxiv: 1807.02966 · arxiv_version: 1807.02966v2 · doi: 10.48550/arxiv.1807.02966 · pith_short_12: O32IQRZWI5DO · pith_short_16: O32IQRZWI5DOMJKU · pith_short_8: O32IQRZW

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/O32IQRZWI5DOMJKU453W3KK4LT \
  | 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: 76f48847364746e62554e7776da95c5ceaf0510cd81f7112f92be8b5023c2317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8a5910313ea37ac4b1ae364b775d9a3e64bd477791022e08e446343c39b4c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-09T07:02:34Z",
    "title_canon_sha256": "cc6731d9b855241bf0f18c531d2e4b31a1a1c7a123038bf47c6a0d6e7187d47c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02966",
    "kind": "arxiv",
    "version": 2
  }
}