Pith Number

pith:SQGQNFY2

pith:2010:SQGQNFY2MH46RP67R3CAXL25NE

not attested not anchored not stored refs pending

Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain

Hideo Kubo, Soichiro Katayama

arxiv:1009.1188 v1 · 2010-09-07 · 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{SQGQNFY2MH46RP67R3CAXL25NE}

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	2026-05-18T04:41:15.966546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

940d06971a61f9e8bfdf8ec40baf5d691b3d951d4a87d7a2ad1ae2104349d50b

Aliases

arxiv: 1009.1188 · arxiv_version: 1009.1188v1 · doi: 10.48550/arxiv.1009.1188 · pith_short_12: SQGQNFY2MH46 · pith_short_16: SQGQNFY2MH46RP67 · pith_short_8: SQGQNFY2

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/SQGQNFY2MH46RP67R3CAXL25NE \
  | 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: 940d06971a61f9e8bfdf8ec40baf5d691b3d951d4a87d7a2ad1ae2104349d50b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52bf649ec51a558aabb4679977fd5073c0e4bb8f60d325982a9f6fc60307157f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-07T03:09:46Z",
    "title_canon_sha256": "ae066999fff4c84945d8484dd42797812e07cb78cce5f03c859b7aea41758767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1188",
    "kind": "arxiv",
    "version": 1
  }
}