Pith Number

pith:VMOFPYSS

pith:2020:VMOFPYSSY7YPIVT4ALREGF7R2B

not attested not anchored not stored refs pending

Fractional free convolution powers

Dimitri Shlyakhtenko, Terence Tao. With an appendix by David Jekel

arxiv:2009.01882 v3 · 2020-09-03 · math.PR · math.CV · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMOFPYSSY7YPIVT4ALREGF7R2B}

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

P\'olya--Schur problems and free probability

Receipt and verification

First computed	2026-07-05T02:13:33.861709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1c57e252c7f0f4567c02e24317f1d0515f5163b2f16b98a1ba770af89d1d71

Aliases

arxiv: 2009.01882 · arxiv_version: 2009.01882v3 · doi: 10.48550/arxiv.2009.01882 · pith_short_12: VMOFPYSSY7YP · pith_short_16: VMOFPYSSY7YPIVT4 · pith_short_8: VMOFPYSS

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/VMOFPYSSY7YPIVT4ALREGF7R2B \
  | 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: ab1c57e252c7f0f4567c02e24317f1d0515f5163b2f16b98a1ba770af89d1d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd0a40aa1d342bfa27ca539626237d6feb911f1cbffc20df106e97ad773b25d",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-09-03T18:48:32Z",
    "title_canon_sha256": "a3d4a1fbaf6b8412146391646450e4af6fb4dcffead43fe2f729bc7819d23cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.01882",
    "kind": "arxiv",
    "version": 3
  }
}