Pith Number

pith:4PM2JJHY

pith:2025:4PM2JJHYM6T6KAORABSYZGJI2J

not attested not anchored not stored refs pending

Unstable mode around the 3D boundary layer flow

Cheng-Jie Liu, Di Wu, Mengjun Ma, Zhu Zhang

arxiv:2509.06089 v1 · 2025-09-07 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PM2JJHYM6T6KAORABSYZGJI2J}

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	2026-07-05T12:06:29.880870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d9a4a4f867a7e501d100658c9928d2555d9efedf43f031f75d739b01abd4f1

Aliases

arxiv: 2509.06089 · arxiv_version: 2509.06089v1 · doi: 10.48550/arxiv.2509.06089 · pith_short_12: 4PM2JJHYM6T6 · pith_short_16: 4PM2JJHYM6T6KAOR · pith_short_8: 4PM2JJHY

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/4PM2JJHYM6T6KAORABSYZGJI2J \
  | 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: e3d9a4a4f867a7e501d100658c9928d2555d9efedf43f031f75d739b01abd4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16fc9674ec1ced356fecc92a8e76e481a863820b59b77affc15ca84869979877",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-07T15:04:55Z",
    "title_canon_sha256": "6df202b52e312720bcc1f1820ee016358366ca9abc79698eacc1eb76e641096a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06089",
    "kind": "arxiv",
    "version": 1
  }
}