Pith Number

pith:B7VFIEF3

pith:2013:B7VFIEF3A6UCIEFGJLCQJYCN37

not attested not anchored not stored refs pending

Radial multipliers on arbitrary amalgamated free products of finite von Neumann algebras

Steven Deprez

arxiv:1310.7880 v1 · 2013-10-29 · math.OA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7VFIEF3A6UCIEFGJLCQJYCN37}

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	2026-05-18T03:08:27.741513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fea5410bb07a82410a64ac504e04ddfe8c486c23d658c492efe0617ef8d241a

Aliases

arxiv: 1310.7880 · arxiv_version: 1310.7880v1 · doi: 10.48550/arxiv.1310.7880 · pith_short_12: B7VFIEF3A6UC · pith_short_16: B7VFIEF3A6UCIEFG · pith_short_8: B7VFIEF3

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/B7VFIEF3A6UCIEFGJLCQJYCN37 \
  | 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: 0fea5410bb07a82410a64ac504e04ddfe8c486c23d658c492efe0617ef8d241a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3497af10ee9a1937a71b298c36cc0b7a3394908b083536b817510d546480f5b1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-29T17:06:59Z",
    "title_canon_sha256": "bbcd8b26cb2fe3b569d4162c0057123c1530b74dae688fce913ca54bc0dc6014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7880",
    "kind": "arxiv",
    "version": 1
  }
}