Pith Number

pith:RW52SGVJ

pith:2024:RW52SGVJ3LCYHHERBE4OUVNJJY

not attested not anchored not stored refs pending

Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation

Kimitoshi Tsutaya, Motohiro Sobajima, Yuta Wakasugi

arxiv:2412.08834 v1 · 2024-12-12 · 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{RW52SGVJ3LCYHHERBE4OUVNJJY}

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	2026-07-05T09:48:02.429700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbba91aa9dac5839c910938ea55a94e08a60d58aee3789246e8be866032201e

Aliases

arxiv: 2412.08834 · arxiv_version: 2412.08834v1 · doi: 10.48550/arxiv.2412.08834 · pith_short_12: RW52SGVJ3LCY · pith_short_16: RW52SGVJ3LCYHHER · pith_short_8: RW52SGVJ

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/RW52SGVJ3LCYHHERBE4OUVNJJY \
  | 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: 8dbba91aa9dac5839c910938ea55a94e08a60d58aee3789246e8be866032201e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7344cd836e45980b84fe633e045abdd15b2f47fd0de6b0e086d482f739188d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-12T00:18:32Z",
    "title_canon_sha256": "9eac9f4366f0dfb6f03e08da575ca0ec09d1c966507a6185bba2744374e2722c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08834",
    "kind": "arxiv",
    "version": 1
  }
}