Pith Number

pith:F6ZKTUHL

pith:2026:F6ZKTUHL45O77KR2JNW5MMROO3

not attested not anchored not stored refs pending

Global weak solutions with higher regularity to the two-dimensional isentropic compressible Navier-Stokes and magnetohydrodynamic equations with far-field vacuum and unbounded density

Shuai Wang, Xin Zhong

arxiv:2602.06303 v2 · 2026-02-06 · 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{F6ZKTUHL45O77KR2JNW5MMROO3}

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	2026-06-05T01:15:19.799181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb2a9d0ebe75dffaa3a4b6dd6322e76ef4facf875859a427683a7cb90ce04e3

Aliases

arxiv: 2602.06303 · arxiv_version: 2602.06303v2 · doi: 10.48550/arxiv.2602.06303 · pith_short_12: F6ZKTUHL45O7 · pith_short_16: F6ZKTUHL45O77KR2 · pith_short_8: F6ZKTUHL

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/F6ZKTUHL45O77KR2JNW5MMROO3 \
  | 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: 2fb2a9d0ebe75dffaa3a4b6dd6322e76ef4facf875859a427683a7cb90ce04e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0916707086659f90c3fabbb883ba2c6d03af22373dc2a5e4c8e5ff5b483dd4de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-02-06T01:52:30Z",
    "title_canon_sha256": "497fe1159f39a271baa04f48d3c27b0dd20701baa43035b5737124d62488171c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06303",
    "kind": "arxiv",
    "version": 2
  }
}