Pith Number

pith:2RAXEQVK

pith:2023:2RAXEQVKB2HJRWTOYYTOV42ZGB

not attested not anchored not stored refs pending

Stability and instability for compressible Navier-Stokes equations with Yukawa potential

Guochun Wu, Juanzi Cai, Zhiang Wu

arxiv:2308.16387 v1 · 2023-08-31 · 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{2RAXEQVKB2HJRWTOYYTOV42ZGB}

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	2026-07-05T06:46:27.126830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4417242aa0e8e98da6ec626eaf3593066bd561d8049a570976d4944f73a04bc

Aliases

arxiv: 2308.16387 · arxiv_version: 2308.16387v1 · doi: 10.48550/arxiv.2308.16387 · pith_short_12: 2RAXEQVKB2HJ · pith_short_16: 2RAXEQVKB2HJRWTO · pith_short_8: 2RAXEQVK

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/2RAXEQVKB2HJRWTOYYTOV42ZGB \
  | 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: d4417242aa0e8e98da6ec626eaf3593066bd561d8049a570976d4944f73a04bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e763230f7b028d8b034e60e2f0fc4f78905968b4907d38936af2d085f8b741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-08-31T01:26:48Z",
    "title_canon_sha256": "c94cd0d7e6a89e429d6ed5805887a8ad246c513396cda56d19a35d7a5b39192f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16387",
    "kind": "arxiv",
    "version": 1
  }
}