Pith Number

pith:L7R7TIMC

pith:2025:L7R7TIMCMPYCNCWT24NTX2A6UX

not attested not anchored not stored refs pending

Critical exponent for semilinear damped wave equations with weighted nonlinear terms and data from Sobolev spaces of negative order

Dinh Van Duong, Tuan Anh Dao

arxiv:2508.07802 v3 · 2025-08-11 · 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{L7R7TIMCMPYCNCWT24NTX2A6UX}

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	2026-06-19T16:12:04.050922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe3f9a18263f0268ad3d71b3be81ea5d5c6fa9fb55eb6d2ca03e5189fd1e8a9

Aliases

arxiv: 2508.07802 · arxiv_version: 2508.07802v3 · doi: 10.48550/arxiv.2508.07802 · pith_short_12: L7R7TIMCMPYC · pith_short_16: L7R7TIMCMPYCNCWT · pith_short_8: L7R7TIMC

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/L7R7TIMCMPYCNCWT24NTX2A6UX \
  | 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: 5fe3f9a18263f0268ad3d71b3be81ea5d5c6fa9fb55eb6d2ca03e5189fd1e8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8c0645a9c77e8332768bcca8c8e93c3a5febbf9258adafbf6bc014454c4e76",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-11T09:38:00Z",
    "title_canon_sha256": "75916bec9b3ead5717bda5f0531f03828ba1ce64b719e296a1ae53c8005df061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07802",
    "kind": "arxiv",
    "version": 3
  }
}