Pith Number

pith:PCYO26XA

pith:2025:PCYO26XAAJULNVRAPXP4LOBP6T

not attested not anchored not stored refs pending

$L^p$ boundedness of wave operators for higher order schr\"odinger operators with threshold eigenvalues

Kevin LaMaster, M. Burak Erdogan, William R. Green

arxiv:2506.16378 v1 · 2025-06-19 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCYO26XAAJULNVRAPXP4LOBP6T}

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	2026-07-05T11:24:35.323663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b0ed7ae00268b6d6207ddfc5b82ff4c8716a53c46e097ae13438c940786365

Aliases

arxiv: 2506.16378 · arxiv_version: 2506.16378v1 · doi: 10.48550/arxiv.2506.16378 · pith_short_12: PCYO26XAAJUL · pith_short_16: PCYO26XAAJULNVRA · pith_short_8: PCYO26XA

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/PCYO26XAAJULNVRAPXP4LOBP6T \
  | 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: 78b0ed7ae00268b6d6207ddfc5b82ff4c8716a53c46e097ae13438c940786365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc242e064aabf029d6b26b39f4db3499e579a4f1013063c5efaaf9f7304b383c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-19T14:58:07Z",
    "title_canon_sha256": "029ad44032871148d0bb854bb421073c5ad46c713db20617d34b4f8358d609e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16378",
    "kind": "arxiv",
    "version": 1
  }
}