Pith Number

pith:GYIS7PAU

pith:2014:GYIS7PAUGAFFVZBNS22NVKQM7V

not attested not anchored not stored refs pending

Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations

Hiroyuki Takamura

arxiv:1412.2550 v3 · 2014-12-08 · 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{GYIS7PAUGAFFVZBNS22NVKQM7V}

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	2026-05-18T00:22:21.422007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36112fbc14300a5ae42d96b4daaa0cfd4c6ffa7e56ef33a278454795772d3597

Aliases

arxiv: 1412.2550 · arxiv_version: 1412.2550v3 · doi: 10.48550/arxiv.1412.2550 · pith_short_12: GYIS7PAUGAFF · pith_short_16: GYIS7PAUGAFFVZBN · pith_short_8: GYIS7PAU

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/GYIS7PAUGAFFVZBNS22NVKQM7V \
  | 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: 36112fbc14300a5ae42d96b4daaa0cfd4c6ffa7e56ef33a278454795772d3597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5327f4c578d4f678e955b6e1b7279603b8b33867bb57dc1ed04226633fb3cc97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-08T13:15:25Z",
    "title_canon_sha256": "1862f3f8c6da576f13afec90c67d577f8fb32f8e238e9b6f7511497f2328696b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2550",
    "kind": "arxiv",
    "version": 3
  }
}