Pith Number

pith:RJYSCWDK

pith:2018:RJYSCWDKYBJ2G3AFXDFK6PTRZF

not attested not anchored not stored refs pending

On the failure of the H\"ormander multiplier theorem in a limiting case

Lenka Slav\'ikov\'a

arxiv:1805.09907 v1 · 2018-05-24 · 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{RJYSCWDKYBJ2G3AFXDFK6PTRZF}

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	2026-05-18T00:14:58.835141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a7121586ac053a36c05b8caaf3e71c94c6d90434dd9682685bfa2dccaa65c7f

Aliases

arxiv: 1805.09907 · arxiv_version: 1805.09907v1 · doi: 10.48550/arxiv.1805.09907 · pith_short_12: RJYSCWDKYBJ2 · pith_short_16: RJYSCWDKYBJ2G3AF · pith_short_8: RJYSCWDK

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/RJYSCWDKYBJ2G3AFXDFK6PTRZF \
  | 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: 8a7121586ac053a36c05b8caaf3e71c94c6d90434dd9682685bfa2dccaa65c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4b2ee895a81073d6425e5a77f2f7aed6384fd20a393927292f3e515e3214ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-24T21:28:27Z",
    "title_canon_sha256": "6b6e907614aeef6a4a16d9cb1ffcbacccd6e90c2c22930d6f357865703266747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09907",
    "kind": "arxiv",
    "version": 1
  }
}