Pith Number

pith:MCC4YFTB

pith:2023:MCC4YFTBN4CWRYCBN3ZZCRLOOZ

not attested not anchored not stored refs pending

Instantaneous unboundedness of the entropy and uniform positivity of the temperature for the compressible Navier-Stokes equations with fast decay density

Jinkai Li, Zhouping Xin

arxiv:2301.00627 v1 · 2023-01-02 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCC4YFTBN4CWRYCBN3ZZCRLOOZ}

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	2026-07-05T05:29:48.492073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6085cc16616f0568e0416ef391456e767598da930a87b6143a38cae21a69290d

Aliases

arxiv: 2301.00627 · arxiv_version: 2301.00627v1 · doi: 10.48550/arxiv.2301.00627 · pith_short_12: MCC4YFTBN4CW · pith_short_16: MCC4YFTBN4CWRYCB · pith_short_8: MCC4YFTB

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/MCC4YFTBN4CWRYCBN3ZZCRLOOZ \
  | 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: 6085cc16616f0568e0416ef391456e767598da930a87b6143a38cae21a69290d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb42c8668c44178867d34a12a526e6bbbd4cf08db04fc5e8881e12d15b9b8c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-01-02T12:42:15Z",
    "title_canon_sha256": "32810d4f5430481d7f60774db5554e4c43b4aa781e9cc590b51496740e2b950a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00627",
    "kind": "arxiv",
    "version": 1
  }
}