Pith Number

pith:65CDCERL

pith:2013:65CDCERL3HUCDVQKCFRI6YSYKM

not attested not anchored not stored refs pending

Schur and Fourier multipliers of an amenable group acting on non-commutative Lp-spaces

Martijn Caspers, Mikael de la Salle

arxiv:1303.0135 v2 · 2013-03-01 · 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{65CDCERL3HUCDVQKCFRI6YSYKM}

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	2026-05-18T00:33:44.471149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74431122bd9e821d60a11628f6258532166dc7969e4e9e1a2b6e27c03a353ad

Aliases

arxiv: 1303.0135 · arxiv_version: 1303.0135v2 · doi: 10.48550/arxiv.1303.0135 · pith_short_12: 65CDCERL3HUC · pith_short_16: 65CDCERL3HUCDVQK · pith_short_8: 65CDCERL

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/65CDCERL3HUCDVQKCFRI6YSYKM \
  | 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: f74431122bd9e821d60a11628f6258532166dc7969e4e9e1a2b6e27c03a353ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed63febcf18951b0bb4a39cc96ac68d94e3073eb06a3d76281e841fc0861537",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-01T10:26:07Z",
    "title_canon_sha256": "8252d2fd03130a4811181334dcef0bf02c242bd9422c602e1411bbe4153fd0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0135",
    "kind": "arxiv",
    "version": 2
  }
}