Pith Number

pith:SZKAQRHJ

pith:2026:SZKAQRHJ5EO5ICVV77C4MXHOWU

not attested not anchored not stored refs pending

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane

Dehua Wang, Robin Ming Chen, Tian Dai, Weiqiang Wang

arxiv:2608.06899 v1 · 2026-08-07 · 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{SZKAQRHJ5EO5ICVV77C4MXHOWU}

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	2026-08-10T01:12:27.212361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96540844e9e91dd40ab5ffc5c65ceeb50968aece6cf70224694be34cbfd6b5a9

Aliases

arxiv: 2608.06899 · arxiv_version: 2608.06899v1 · doi: 10.48550/arxiv.2608.06899 · pith_short_12: SZKAQRHJ5EO5 · pith_short_16: SZKAQRHJ5EO5ICVV · pith_short_8: SZKAQRHJ

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/SZKAQRHJ5EO5ICVV77C4MXHOWU \
  | 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: 96540844e9e91dd40ab5ffc5c65ceeb50968aece6cf70224694be34cbfd6b5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27bdf7a5073f5c42f333a3560f0fb4bff0a004012256602d32ed1b49d6aa52cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-07T07:33:57Z",
    "title_canon_sha256": "7c10e82debb3cc6d626ff0f9cf05adb0518517b7393790e89d0b408706e43d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06899",
    "kind": "arxiv",
    "version": 1
  }
}