Pith Number

pith:JTZPLE5K

pith:2009:JTZPLE5KUCQSDUJICYVGU2UJXP

not attested not anchored not stored refs pending

Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions

Soichiro Katayama

arxiv:0908.4137 v3 · 2009-08-28 · 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{JTZPLE5KUCQSDUJICYVGU2UJXP}

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	2026-05-18T04:04:42.737274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf2f593aaa0a121d128162a6a6a89bbd9802a389c7648a447a56f57e25477b8

Aliases

arxiv: 0908.4137 · arxiv_version: 0908.4137v3 · doi: 10.48550/arxiv.0908.4137 · pith_short_12: JTZPLE5KUCQS · pith_short_16: JTZPLE5KUCQSDUJI · pith_short_8: JTZPLE5K

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/JTZPLE5KUCQSDUJICYVGU2UJXP \
  | 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: 4cf2f593aaa0a121d128162a6a6a89bbd9802a389c7648a447a56f57e25477b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a322f8492313039f6d0963e6e27bd2c8e336cd385449361179beee0bc7b264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-08-28T06:10:16Z",
    "title_canon_sha256": "536e6185de19531f07401e550664e18f31ceb5e7715f99c94fbd0ef9eb0094d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4137",
    "kind": "arxiv",
    "version": 3
  }
}