Pith Number

pith:7TII755O

pith:2016:7TII755OCNUHDL3JETHSABBHJ4

not attested not anchored not stored refs pending

Fourier multiplier theorems involving type and cotype

Jan Rozendaal, Mark Veraar

arxiv:1605.09340 v3 · 2016-05-30 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TII755OCNUHDL3JETHSABBHJ4}

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	2026-05-18T00:04:13.944908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd08ff7ae136871af6924cf2004274f1502f1a99e630708f16ac7931ddb70d8

Aliases

arxiv: 1605.09340 · arxiv_version: 1605.09340v3 · doi: 10.48550/arxiv.1605.09340 · pith_short_12: 7TII755OCNUH · pith_short_16: 7TII755OCNUHDL3J · pith_short_8: 7TII755O

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/7TII755OCNUHDL3JETHSABBHJ4 \
  | 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: fcd08ff7ae136871af6924cf2004274f1502f1a99e630708f16ac7931ddb70d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e7ff05f66649db66aa8674faef0e34d59f447f3639ab81c09d803e9d4e2fda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-30T17:40:49Z",
    "title_canon_sha256": "83690be151ac2e26f79cc7d142650c64e7c9a8020fb09e48f6adae0c1dfbf3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09340",
    "kind": "arxiv",
    "version": 3
  }
}