Pith Number

pith:E53ZACFC

pith:2018:E53ZACFCUOZFQPQVMSWHCESDNL

not attested not anchored not stored refs pending

Finite time blowup of solutions to semilinear wave equation in an exterior domain

Kyouhei Wakasa, Motohiro Sobajima

arxiv:1812.09182 v1 · 2018-12-21 · 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{E53ZACFCUOZFQPQVMSWHCESDNL}

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	2026-05-17T23:57:45.135202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27779008a2a3b2583e1564ac7112436aeebb848f0fce734041e04d849196998c

Aliases

arxiv: 1812.09182 · arxiv_version: 1812.09182v1 · doi: 10.48550/arxiv.1812.09182 · pith_short_12: E53ZACFCUOZF · pith_short_16: E53ZACFCUOZFQPQV · pith_short_8: E53ZACFC

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/E53ZACFCUOZFQPQVMSWHCESDNL \
  | 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: 27779008a2a3b2583e1564ac7112436aeebb848f0fce734041e04d849196998c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a349a4476b81b75ed84eee3524190a973d70c853a75a3de0e71fd195a918f6fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-21T15:13:46Z",
    "title_canon_sha256": "9ff249cba5557d02019f6b7d807bb3d06ada22b62d5102b849e7584af7c343f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09182",
    "kind": "arxiv",
    "version": 1
  }
}