Pith Number

pith:DWMQXNTI

pith:2025:DWMQXNTI4LATEGOP57UJZ4WRSL

not attested not anchored not stored refs pending

$L^p$-estimates for the 2D wave equation in the scaling-critical magnetic field

Fang Zhang, Jialu Wang, Jiqiang Zheng, Junyong Zhang

arxiv:2502.03151 v1 · 2025-02-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWMQXNTI4LATEGOP57UJZ4WRSL}

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	2026-07-05T10:10:00.539098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d990bb668e2c13219cfefe89cf2d192f6b86e1fbef9d3859bd05f33ccfd8513

Aliases

arxiv: 2502.03151 · arxiv_version: 2502.03151v1 · doi: 10.48550/arxiv.2502.03151 · pith_short_12: DWMQXNTI4LAT · pith_short_16: DWMQXNTI4LATEGOP · pith_short_8: DWMQXNTI

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/DWMQXNTI4LATEGOP57UJZ4WRSL \
  | 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: 1d990bb668e2c13219cfefe89cf2d192f6b86e1fbef9d3859bd05f33ccfd8513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8decc56f2887e516a40ad54aad9a6fa9e21dc30000079fae5744585fd602eeb5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-05T13:22:37Z",
    "title_canon_sha256": "051163092082c1285d6698f35150ccb8e1bde8c8855c922981852f36eb54388f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03151",
    "kind": "arxiv",
    "version": 1
  }
}