Pith Number

pith:TUYLZR6N

pith:2014:TUYLZR6NXNGAUQTSLHWS6MEZLT

not attested not anchored not stored refs pending

Almost global solutions of semilinear wave equations with the critical exponent in high dimensions

Hiroyuki Takamura, Kyouhei Wakasa

arxiv:1404.4471 v1 · 2014-04-17 · 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{TUYLZR6NXNGAUQTSLHWS6MEZLT}

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	2026-05-18T02:45:57.815289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d30bcc7cdbb4c0a427259ed2f30995ce0c2548cb9400eb4811ff1e3c914ddf4

Aliases

arxiv: 1404.4471 · arxiv_version: 1404.4471v1 · doi: 10.48550/arxiv.1404.4471 · pith_short_12: TUYLZR6NXNGA · pith_short_16: TUYLZR6NXNGAUQTS · pith_short_8: TUYLZR6N

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/TUYLZR6NXNGAUQTSLHWS6MEZLT \
  | 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: 9d30bcc7cdbb4c0a427259ed2f30995ce0c2548cb9400eb4811ff1e3c914ddf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "278f4c141c76faf805a83782d385d906b8819e48a5f6e5185c0af3b77b8aac1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-17T10:10:36Z",
    "title_canon_sha256": "f93a2e51da13d486d0a8e31e01d086e3dbe0ff22b439778a455ff363f776b820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4471",
    "kind": "arxiv",
    "version": 1
  }
}