Pith Number

pith:5OH54FNU

pith:2021:5OH54FNUZBQJW42U2VBHOWN3T7

not attested not anchored not stored refs pending

$L^{p}$-estimate of Schr\"odinger maximal function in higher dimensions

Changxing Miao, Meng Wang, Zhenbin Cao

arxiv:2105.03378 v2 · 2021-05-05 · math.AP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OH54FNUZBQJW42U2VBHOWN3T7}

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	2026-07-05T07:22:11.094458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8fde15b4c8609b7354d5427759bb9fc25d73f597e16e06ab001c823502ddaf

Aliases

arxiv: 2105.03378 · arxiv_version: 2105.03378v2 · doi: 10.48550/arxiv.2105.03378 · pith_short_12: 5OH54FNUZBQJ · pith_short_16: 5OH54FNUZBQJW42U · pith_short_8: 5OH54FNU

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/5OH54FNUZBQJW42U2VBHOWN3T7 \
  | 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: eb8fde15b4c8609b7354d5427759bb9fc25d73f597e16e06ab001c823502ddaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a218180ffb3d8b955b9439eb188abad17086370463949fbb72794e98e42a0e5b",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-05-05T09:34:37Z",
    "title_canon_sha256": "785a7da53ae54691ab76052bcaa52fdc598d98d9a9c0d9baf91f9bea452e69a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03378",
    "kind": "arxiv",
    "version": 2
  }
}