Pith Number

pith:DDBYDCUA

pith:2017:DDBYDCUATMM7X7BSKEQTDMQVPI

not attested not anchored not stored refs pending

Analytic subordination for bi-free convolution

Hari Bercovici, Paul Skoufranis (York University), Serban Belinschi (IMT), Yinzheng Gu

arxiv:1702.01673 v3 · 2017-02-06 · math.OA · 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{DDBYDCUATMM7X7BSKEQTDMQVPI}

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	2026-05-18T00:26:18.379958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c3818a809b19fbfc32512131b2157a1a1c322740c92245eac530c944ab4c6f

Aliases

arxiv: 1702.01673 · arxiv_version: 1702.01673v3 · doi: 10.48550/arxiv.1702.01673 · pith_short_12: DDBYDCUATMM7 · pith_short_16: DDBYDCUATMM7X7BS · pith_short_8: DDBYDCUA

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/DDBYDCUATMM7X7BSKEQTDMQVPI \
  | 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: 18c3818a809b19fbfc32512131b2157a1a1c322740c92245eac530c944ab4c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fedf75c4606999dc6a90a70c5dfc1a5233899c28b80d4e0372c91b73805043e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-02-06T16:01:29Z",
    "title_canon_sha256": "ff9add74e7a4ea3a28fd0986f8e355f4c13f9030016870ff6d0431c88cc42e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01673",
    "kind": "arxiv",
    "version": 3
  }
}