Pith Number

pith:QPTF6NKV

pith:2011:QPTF6NKVFMIS275J3W4RC5FPVJ

not attested not anchored not stored refs pending

Unconditionality, Fourier multipliers and Schur multipliers

C\'edric Arhancet

arxiv:1111.1664 v7 · 2011-11-07 · 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{QPTF6NKVFMIS275J3W4RC5FPVJ}

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	2026-05-18T03:58:51.109663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e65f35552b112d7fa9ddb91174afaa702c15a0a4f8b35cdf6178a78548cd9e

Aliases

arxiv: 1111.1664 · arxiv_version: 1111.1664v7 · doi: 10.48550/arxiv.1111.1664 · pith_short_12: QPTF6NKVFMIS · pith_short_16: QPTF6NKVFMIS275J · pith_short_8: QPTF6NKV

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/QPTF6NKVFMIS275J3W4RC5FPVJ \
  | 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: 83e65f35552b112d7fa9ddb91174afaa702c15a0a4f8b35cdf6178a78548cd9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7b6c9b37abb1bb4d543bb0f62e93e662864f9efa4090e0341c18f60a1d8612",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-07T18:10:09Z",
    "title_canon_sha256": "4594607d03ea23433a4d5f210b270fd86707a41b1de4ab3e744dd68b6e18479e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1664",
    "kind": "arxiv",
    "version": 7
  }
}