Pith Number

pith:BN7RZQKM

pith:2019:BN7RZQKMR6K7RTNHEZ7PMVG263

not attested not anchored not stored refs pending

Self-similar measures and the Rajchman property

Julien Br\'emont (LAMA)

arxiv:1910.03463 v8 · 2019-10-08 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BN7RZQKMR6K7RTNHEZ7PMVG263}

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.

Cited by

1 paper in Pith

Purity results for some arithmetically defined measures

Receipt and verification

First computed	2026-07-05T01:58:39.661453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7f1cc14c8f95f8cda7267ef654daf6d858f1d181baf7a6c746648ac716fa6f

Aliases

arxiv: 1910.03463 · arxiv_version: 1910.03463v8 · doi: 10.48550/arxiv.1910.03463 · pith_short_12: BN7RZQKMR6K7 · pith_short_16: BN7RZQKMR6K7RTNH · pith_short_8: BN7RZQKM

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/BN7RZQKMR6K7RTNHEZ7PMVG263 \
  | 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: 0b7f1cc14c8f95f8cda7267ef654daf6d858f1d181baf7a6c746648ac716fa6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae2223cf670ac2159ab130270629ddb49b4a1561e35f2e8dd80e717b019ce56",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-10-08T15:33:19Z",
    "title_canon_sha256": "c50a117a70cb8e49dfcbb442637ddd0c017fa2042a26931b807ffe00da58a53d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.03463",
    "kind": "arxiv",
    "version": 8
  }
}