Pith Number

pith:74CYLNGM

pith:2022:74CYLNGM3DCQ3OBSBXSHVHSBPQ

not attested not anchored not stored refs pending

Dynamics near Couette flow for the $\beta$-plane equation

Hao Zhu, Luqi Wang, Zhifei Zhang

arxiv:2202.05708 v1 · 2022-02-11 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74CYLNGM3DCQ3OBSBXSHVHSBPQ}

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	2026-07-05T03:56:11.552385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0585b4ccd8c50db8320de47a9e417c22d6bfc9030f9a05162a61bb3801ae87

Aliases

arxiv: 2202.05708 · arxiv_version: 2202.05708v1 · doi: 10.48550/arxiv.2202.05708 · pith_short_12: 74CYLNGM3DCQ · pith_short_16: 74CYLNGM3DCQ3OBS · pith_short_8: 74CYLNGM

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/74CYLNGM3DCQ3OBSBXSHVHSBPQ \
  | 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: ff0585b4ccd8c50db8320de47a9e417c22d6bfc9030f9a05162a61bb3801ae87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "babc1a129936dba162a28267f68c10dc36473e7b3056eec94e4000c7920a288c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-02-11T15:43:04Z",
    "title_canon_sha256": "6fc858ddaf2fa131f3dd063363a4609e0fb3ec9cdc9138c36742537ecdc51786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05708",
    "kind": "arxiv",
    "version": 1
  }
}