Pith Number

pith:VEYE57BD

pith:2013:VEYE57BDD46E4IIMPSLONMQQBX

not attested not anchored not stored refs pending

A counterexample to weighted estimates for multilinear Fourier multipliers with Sobolev regularity

Mai Fujita, Naohito Tomita

arxiv:1303.6751 v1 · 2013-03-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEYE57BDD46E4IIMPSLONMQQBX}

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	2026-05-18T03:29:39.854215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9304efc231f3c4e210c7c96e6b2100de1996e87ac7f20169ba638a991b77b39

Aliases

arxiv: 1303.6751 · arxiv_version: 1303.6751v1 · doi: 10.48550/arxiv.1303.6751 · pith_short_12: VEYE57BDD46E · pith_short_16: VEYE57BDD46E4IIM · pith_short_8: VEYE57BD

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/VEYE57BDD46E4IIMPSLONMQQBX \
  | 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: a9304efc231f3c4e210c7c96e6b2100de1996e87ac7f20169ba638a991b77b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0fb75e5960815d560e2f2f6119874b6cc2a6f15c91f42caf6e0896b6de70af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-27T06:54:06Z",
    "title_canon_sha256": "f439a49e06c5f793732870926ca68448edcfb1c34819622a77af0fe5108ee55e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6751",
    "kind": "arxiv",
    "version": 1
  }
}