Pith Number

pith:KCY7WFDD

pith:2012:KCY7WFDDN6GXMJRK45JB7ALKUZ

not attested not anchored not stored refs pending

Asymptotic bahavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions

Soichiro Katayama

arxiv:1205.5944 v2 · 2012-05-27 · 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{KCY7WFDDN6GXMJRK45JB7ALKUZ}

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	2026-05-18T03:27:21.246379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b1fb14636f8d76262ae7521f816aa674116eb567c7ad43ddbe2637a0202e81

Aliases

arxiv: 1205.5944 · arxiv_version: 1205.5944v2 · doi: 10.48550/arxiv.1205.5944 · pith_short_12: KCY7WFDDN6GX · pith_short_16: KCY7WFDDN6GXMJRK · pith_short_8: KCY7WFDD

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/KCY7WFDDN6GXMJRK45JB7ALKUZ \
  | 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: 50b1fb14636f8d76262ae7521f816aa674116eb567c7ad43ddbe2637a0202e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08480b6942fe485bf76db599f630039a0c9bbab7e8c63e4ed2a79ddf405dfc60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-27T06:53:55Z",
    "title_canon_sha256": "898de8624b4b288ec72a6f233c03d92014a24b5317d8260346e0d5cf00106ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5944",
    "kind": "arxiv",
    "version": 2
  }
}