Pith Number

pith:7TS642F4

pith:2025:7TS642F43XT25POKUWPSAOGJN6

not attested not anchored not stored refs pending

Exponential local energy decay of solutions to the wave equation with $L^\infty$ electric and magnetic potentials

Andr\'es Larra\'in-Hubach, Georgi Vodev, Jacob Shapiro

arxiv:2506.07058 v3 · 2025-06-08 · 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{7TS642F43XT25POKUWPSAOGJN6}

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.

Cited by

1 paper in Pith

Unconditional wave decay in dimension two

Receipt and verification

First computed	2026-08-10T01:09:06.153604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce5ee68bcdde7aebdcaa59f2038c96fbfceb6b2f2bc3358956dbd46b7721ccf

Aliases

arxiv: 2506.07058 · arxiv_version: 2506.07058v3 · doi: 10.48550/arxiv.2506.07058 · pith_short_12: 7TS642F43XT2 · pith_short_16: 7TS642F43XT25POK · pith_short_8: 7TS642F4

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/7TS642F43XT25POKUWPSAOGJN6 \
  | 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: fce5ee68bcdde7aebdcaa59f2038c96fbfceb6b2f2bc3358956dbd46b7721ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c6917a32c854a251feb52e64e0390ec45c20edb9793edfbbca3339b9823a8f8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-08T09:40:23Z",
    "title_canon_sha256": "0bcfaa3340f61aaa65f21ee70ea1ec66758a4eb4262e36709dbfc6f4c20a986c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07058",
    "kind": "arxiv",
    "version": 3
  }
}