Pith Number

pith:DFSYCDTW

pith:2026:DFSYCDTWVXKDASGEBF5FMUWZ5W

not attested not anchored not stored refs pending

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data

Jinkai Ni, Luqi Wang, Zhipeng Zhang

arxiv:2608.00465 v1 · 2026-08-01 · 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{DFSYCDTWVXKDASGEBF5FMUWZ5W}

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	2026-08-04T00:36:44.183164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1965810e76add43048c4097a5652d9edb22abd870cdb961a216dcebc2b4bd45d

Aliases

arxiv: 2608.00465 · arxiv_version: 2608.00465v1 · doi: 10.48550/arxiv.2608.00465 · pith_short_12: DFSYCDTWVXKD · pith_short_16: DFSYCDTWVXKDASGE · pith_short_8: DFSYCDTW

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/DFSYCDTWVXKDASGEBF5FMUWZ5W \
  | 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: 1965810e76add43048c4097a5652d9edb22abd870cdb961a216dcebc2b4bd45d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb4dfa6cf22c1e8ee6c12e3635ccc81eb0e17640c42fbbecd05692f81c40256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-01T06:12:26Z",
    "title_canon_sha256": "9e04e0847a4f4d57211eb8fb9f9bcbbf09e624064c420c26b3e7c86ad0a92ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00465",
    "kind": "arxiv",
    "version": 1
  }
}