Pith Number

pith:XYXYZUUI

pith:2018:XYXYZUUI7DDD5KNWEKNCZ47Q2R

not attested not anchored not stored refs pending

Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces

Noboru Chikami, Takayuki Kobayashi

arxiv:1812.10948 v1 · 2018-12-28 · 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{XYXYZUUI7DDD5KNWEKNCZ47Q2R}

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	2026-05-17T23:45:31.326378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2f8cd288f8c63ea9b6229a2cf3f0d45f3e04ba4c55914d7a608e7fa5c47c7a

Aliases

arxiv: 1812.10948 · arxiv_version: 1812.10948v1 · doi: 10.48550/arxiv.1812.10948 · pith_short_12: XYXYZUUI7DDD · pith_short_16: XYXYZUUI7DDD5KNW · pith_short_8: XYXYZUUI

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/XYXYZUUI7DDD5KNWEKNCZ47Q2R \
  | 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: be2f8cd288f8c63ea9b6229a2cf3f0d45f3e04ba4c55914d7a608e7fa5c47c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce43074972100f3196cc7430ff0da6d01429c5c4712b23c100b10790cc1e3ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-28T10:38:49Z",
    "title_canon_sha256": "6d1c4e05ed2c60ca82d8f73c143fa69045b5c63f3b69ccfff4ab5e36814378e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10948",
    "kind": "arxiv",
    "version": 1
  }
}