Pith Number

pith:ITMCCRUO

pith:2010:ITMCCRUO2UYS354XKZVQUEZBWE

not attested not anchored not stored refs pending

Smooth Fourier multipliers on group von Neumann algebras

Javier Parcet, Marius Junge, Tao Mei

arxiv:1010.5320 v6 · 2010-10-26 · math.CA · 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{ITMCCRUO2UYS354XKZVQUEZBWE}

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	2026-05-18T02:41:09.351605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d821468ed5312df797566b0a1321b1373a7edf0f4ad8258736927e73b4b455

Aliases

arxiv: 1010.5320 · arxiv_version: 1010.5320v6 · doi: 10.48550/arxiv.1010.5320 · pith_short_12: ITMCCRUO2UYS · pith_short_16: ITMCCRUO2UYS354X · pith_short_8: ITMCCRUO

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/ITMCCRUO2UYS354XKZVQUEZBWE \
  | 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: 44d821468ed5312df797566b0a1321b1373a7edf0f4ad8258736927e73b4b455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45adc886bbcb8daaf435379f56929d1ea882d901ae7fca632db80a1f3edd54b",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-26T06:47:35Z",
    "title_canon_sha256": "55c17c3fc0d842e9b1e885e609a2e61caadf959b2f98afebeac2b393fa3e020a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5320",
    "kind": "arxiv",
    "version": 6
  }
}