Pith Number

pith:GZWILLS3

pith:2026:GZWILLS3B5GEACFDTQTFECZRMO

not attested not anchored not stored refs pending

Global uniform regularity and vanishing vertical viscosity limit for the compressible Navier--Stokes equations in the half-space

Jiahong Wu, Jincheng Gao, Lianyun Peng, Zheng-an Yao

arxiv:2605.23233 v1 · 2026-05-22 · 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{GZWILLS3B5GEACFDTQTFECZRMO}

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	2026-05-25T02:01:44.857383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366c85ae5b0f4c4008a39c26520b3163a6800c91e042926fb42a12a60745c195

Aliases

arxiv: 2605.23233 · arxiv_version: 2605.23233v1 · doi: 10.48550/arxiv.2605.23233 · pith_short_12: GZWILLS3B5GE · pith_short_16: GZWILLS3B5GEACFD · pith_short_8: GZWILLS3

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/GZWILLS3B5GEACFDTQTFECZRMO \
  | 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: 366c85ae5b0f4c4008a39c26520b3163a6800c91e042926fb42a12a60745c195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f03ecd7634c8cd79a106d7d39ba719710fb00875515ec63b90f3453a56b3a7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T04:49:21Z",
    "title_canon_sha256": "3e68087b94dcf02f69c1f42fc04f8a6a1423478b2f322f5564350bc91d1eba1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23233",
    "kind": "arxiv",
    "version": 1
  }
}