Pith Number

pith:AGUPWKM7

pith:2015:AGUPWKM77LQCZGKUCSGQUTV2WH

not attested not anchored not stored refs pending

Separately Radial and Radial Toeplitz Operators on the Unit Ball and Representation Theory

Raul Quiroga-Barranco

arxiv:1509.07063 v2 · 2015-09-23 · math.FA · 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{AGUPWKM77LQCZGKUCSGQUTV2WH}

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	2026-05-18T01:22:00.893372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a8fb299ffae02c9954148d0a4ebab1d9b02a751d41b47a058554ccb3864584

Aliases

arxiv: 1509.07063 · arxiv_version: 1509.07063v2 · doi: 10.48550/arxiv.1509.07063 · pith_short_12: AGUPWKM77LQC · pith_short_16: AGUPWKM77LQCZGKU · pith_short_8: AGUPWKM7

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/AGUPWKM77LQCZGKUCSGQUTV2WH \
  | 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: 01a8fb299ffae02c9954148d0a4ebab1d9b02a751d41b47a058554ccb3864584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a3b700f9ff1a1a87cc8d45a3ce204ff731624cc73c1f54379a3eab4f759682",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-23T17:10:03Z",
    "title_canon_sha256": "2e98b47d5ba2ece364967c234e880eecc753b654bf0b39e675f704ab18f41974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07063",
    "kind": "arxiv",
    "version": 2
  }
}