Pith Number

pith:GKLWAD5N

pith:2015:GKLWAD5NF5MHWPQ6JKPQ27YZM4

not attested not anchored not stored refs pending

$L^p$-estimates of maximal function related to Schr\"{o}dinger Equation in $\mathbb{R}^2$

Xiaochun Li, Xiumin Du

arxiv:1508.05437 v3 · 2015-08-21 · 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{GKLWAD5NF5MHWPQ6JKPQ27YZM4}

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	2026-05-18T00:59:49.302652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3297600fad2f587b3e1e4a9f0d7f19670b920358f4f524622cac2230ea7a5f3e

Aliases

arxiv: 1508.05437 · arxiv_version: 1508.05437v3 · doi: 10.48550/arxiv.1508.05437 · pith_short_12: GKLWAD5NF5MH · pith_short_16: GKLWAD5NF5MHWPQ6 · pith_short_8: GKLWAD5N

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/GKLWAD5NF5MHWPQ6JKPQ27YZM4 \
  | 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: 3297600fad2f587b3e1e4a9f0d7f19670b920358f4f524622cac2230ea7a5f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6739723ccca8de2958bfddf0b017c5e9986786f7e4b39386273bf982522517a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-21T23:56:16Z",
    "title_canon_sha256": "9b9faefcf85e56c29c6f7eccb1b86b2bd4df6b9b2f4dd5e01aff66f6bdfef82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05437",
    "kind": "arxiv",
    "version": 3
  }
}