Pith Number

pith:PGSXLXKK

pith:2025:PGSXLXKK5DXBANC5GZZ2YMHNAO

not attested not anchored not stored refs pending

Weak-strong uniqueness of the full coupled Navier-Stokes and Q-tensor system in dimension three

Fan Yang, Junjie Zhou

arxiv:2507.09281 v4 · 2025-07-12 · 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{PGSXLXKK5DXBANC5GZZ2YMHNAO}

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.

Cited by

3 papers in Pith

Global well-posedness and decay rates for the three dimensional incompressible active liquid crystals

Koch-Tataru theorem for 3D incompressible active nematic liquid crystals

Global well-posedness and decay rates for the three dimensional incompressible active liquid crystals

Receipt and verification

First computed	2026-05-27T01:05:35.696717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a575dd4ae8ee10345d3673ac30ed0393da7e812a3cbe8d0685d1905a9c949c

Aliases

arxiv: 2507.09281 · arxiv_version: 2507.09281v4 · doi: 10.48550/arxiv.2507.09281 · pith_short_12: PGSXLXKK5DXB · pith_short_16: PGSXLXKK5DXBANC5 · pith_short_8: PGSXLXKK

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/PGSXLXKK5DXBANC5GZZ2YMHNAO \
  | 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: 79a575dd4ae8ee10345d3673ac30ed0393da7e812a3cbe8d0685d1905a9c949c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e67e261c5f720060056788c3bb9a62dd89e6c89adcfe5b171927545e9d2f5624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-12T13:37:38Z",
    "title_canon_sha256": "6ff1f5ecae1adc8bae1dbf3c685b28f32cd47a3c6e8cf00323efadffb66c5df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09281",
    "kind": "arxiv",
    "version": 4
  }
}