pith. sign in
Pith Number

pith:QUM34TCB

pith:2019:QUM34TCBE6MJUDWS5WLTX5IBE2
not attested not anchored not stored refs pending

Time decay estimate with diffusion wave property and smoothing effect for solutions to the compressible Navier-Stokes-Korteweg system

Kazuyuki Tsuda, Takayuki Kobayashi

arxiv:1905.13698 v1 · 2019-05-31 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QUM34TCBE6MJUDWS5WLTX5IBE2}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-17T23:44:34.192475Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8519be4c4127989a0ed2ed973bf50126a86c8e99d32b61bca2d6a20d505ef6fd

Aliases

arxiv: 1905.13698 · arxiv_version: 1905.13698v1 · doi: 10.48550/arxiv.1905.13698 · pith_short_12: QUM34TCBE6MJ · pith_short_16: QUM34TCBE6MJUDWS · pith_short_8: QUM34TCB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QUM34TCBE6MJUDWS5WLTX5IBE2 \
  | 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: 8519be4c4127989a0ed2ed973bf50126a86c8e99d32b61bca2d6a20d505ef6fd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f09fc1cc40522f894063108512bebaa240faea210822805adc2aa486ac5e1940",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-31T16:22:07Z",
    "title_canon_sha256": "b9859ee73f033abdb00d4c04250d41ffa0d7f9a1243f65ecebe7aba1e7703c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13698",
    "kind": "arxiv",
    "version": 1
  }
}