Pith Number

pith:QWCUIAS2

pith:2012:QWCUIAS2CMDNDOTFZ2NTWLWXGQ

not attested not anchored not stored refs pending

Radial multipliers on reduced free products of operator algebras

S\"oren M\"oller, Uffe Haagerup

arxiv:1201.0609 v2 · 2012-01-03 · 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{QWCUIAS2CMDNDOTFZ2NTWLWXGQ}

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	2026-05-18T03:40:36.597023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858544025a1306d1ba65ce9b3b2ed7342110fb8f83a7aad41960076e09bbcfa1

Aliases

arxiv: 1201.0609 · arxiv_version: 1201.0609v2 · doi: 10.48550/arxiv.1201.0609 · pith_short_12: QWCUIAS2CMDN · pith_short_16: QWCUIAS2CMDNDOTF · pith_short_8: QWCUIAS2

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/QWCUIAS2CMDNDOTFZ2NTWLWXGQ \
  | 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: 858544025a1306d1ba65ce9b3b2ed7342110fb8f83a7aad41960076e09bbcfa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58707693c96eff0fe61de8c6c55798ae6d98abc89d9b52073e34e9de252d1d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-03T11:27:38Z",
    "title_canon_sha256": "e64c4e8f3f718f7f93b34e8898454b7828bebc36eb8074f73de9453dc9b1debc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0609",
    "kind": "arxiv",
    "version": 2
  }
}