Pith Number

pith:LRXDV5CS

pith:2011:LRXDV5CSXEX7AVRRFNAWOZP473

not attested not anchored not stored refs pending

Convolution powers in the operator-valued framework

Alexandru Nica, Maxime Fevrier, Michael Anshelevich, Serban T. Belinschi

arxiv:1107.2894 v1 · 2011-07-14 · 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{LRXDV5CSXEX7AVRRFNAWOZP473}

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	2026-05-18T03:32:17.190194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6e3af452b92ff056312b416765fcfeebf55e25b89e648e77e99b6f47a2697b

Aliases

arxiv: 1107.2894 · arxiv_version: 1107.2894v1 · doi: 10.48550/arxiv.1107.2894 · pith_short_12: LRXDV5CSXEX7 · pith_short_16: LRXDV5CSXEX7AVRR · pith_short_8: LRXDV5CS

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/LRXDV5CSXEX7AVRRFNAWOZP473 \
  | 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: 5c6e3af452b92ff056312b416765fcfeebf55e25b89e648e77e99b6f47a2697b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b7b7cc5af9498a0286c781b74147c84c5a03a7e8ab3626934bfca0ffad3d6d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-14T18:42:26Z",
    "title_canon_sha256": "a2c5063334f9dd150f092602404d68876687e18222a3fae5ab0c8d5f281b459e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2894",
    "kind": "arxiv",
    "version": 1
  }
}