Pith Number

pith:C4CUUFUD

pith:2017:C4CUUFUDRTMXLWEKGWDQNI6YV4

not attested not anchored not stored refs pending

Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent

Hiroyuki Takamura, Kyouhei Wakasa, Ning-An Lai

arxiv:1701.03232 v3 · 2017-01-12 · 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{C4CUUFUDRTMXLWEKGWDQNI6YV4}

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	2026-05-18T00:22:21.103884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17054a16838cd975d88a358706a3d8af3f7f582d8e3b7affba1d677a4c76b439

Aliases

arxiv: 1701.03232 · arxiv_version: 1701.03232v3 · doi: 10.48550/arxiv.1701.03232 · pith_short_12: C4CUUFUDRTMX · pith_short_16: C4CUUFUDRTMXLWEK · pith_short_8: C4CUUFUD

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/C4CUUFUDRTMXLWEKGWDQNI6YV4 \
  | 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: 17054a16838cd975d88a358706a3d8af3f7f582d8e3b7affba1d677a4c76b439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d97932e10c54669625a02f1ca96253bf30baf54a013148413472a812f48fcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-12T05:08:00Z",
    "title_canon_sha256": "b70fe0d7f089aa648add15967c082eb368656c2f821b22e6d246ab142f90ce4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03232",
    "kind": "arxiv",
    "version": 3
  }
}