Pith Number

pith:CQZAQPPS

pith:2013:CQZAQPPS5V62HRLKNTDXQD34AE

not attested not anchored not stored refs pending

Semigroups of Herz-Schur Multipliers

S{\o}ren Knudby

arxiv:1303.6780 v2 · 2013-03-27 · math.OA · math.FA · 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{CQZAQPPS5V62HRLKNTDXQD34AE}

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	2026-05-18T03:01:35.877876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1432083df2ed7da3c56a6cc7780f7c0129cd3c2540f37bb1dc11f4325e12b912

Aliases

arxiv: 1303.6780 · arxiv_version: 1303.6780v2 · doi: 10.48550/arxiv.1303.6780 · pith_short_12: CQZAQPPS5V62 · pith_short_16: CQZAQPPS5V62HRLK · pith_short_8: CQZAQPPS

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/CQZAQPPS5V62HRLKNTDXQD34AE \
  | 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: 1432083df2ed7da3c56a6cc7780f7c0129cd3c2540f37bb1dc11f4325e12b912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689adff1f0463730d9546e5eb98edb197e6c3eb31d610e98cefca64002f3f021",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-03-27T10:28:42Z",
    "title_canon_sha256": "29bfaffb26b80cc86505be8b6108544051bf30dbb66759ac5df3f3cfc6f1e6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6780",
    "kind": "arxiv",
    "version": 2
  }
}