Pith Number

pith:B57LDTZK

pith:2018:B57LDTZK3EIJ3G2KZ4H6AKIBVI

not attested not anchored not stored refs pending

A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical $L^{p}$ framework

Jiang Xu, Wei Xuan Shi

arxiv:1803.10125 v2 · 2018-03-27 · 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{B57LDTZK3EIJ3G2KZ4H6AKIBVI}

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	2026-05-18T00:14:45.997136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f7eb1cf2ad9109d9b4acf0fe02901aa05af6c98ad922c96e3a23cabf98eaff4

Aliases

arxiv: 1803.10125 · arxiv_version: 1803.10125v2 · doi: 10.48550/arxiv.1803.10125 · pith_short_12: B57LDTZK3EIJ · pith_short_16: B57LDTZK3EIJ3G2K · pith_short_8: B57LDTZK

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/B57LDTZK3EIJ3G2KZ4H6AKIBVI \
  | 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: 0f7eb1cf2ad9109d9b4acf0fe02901aa05af6c98ad922c96e3a23cabf98eaff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a377a486546edeffaee8cc8c3394319619080093346cdcd121134a2b0a604e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-27T15:13:02Z",
    "title_canon_sha256": "c57b422aac1dcb004fb19df147fee5a17cd03b752e2141b08d9ed1594472f73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10125",
    "kind": "arxiv",
    "version": 2
  }
}