Pith Number

pith:TAH2DFM4

pith:2024:TAH2DFM454ZMV6FBEVKW33S7J2

not attested not anchored not stored refs pending

Instability of shear layers and Prandtl's boundary layers

Dongfen Bian, Emmanuel Grenier

arxiv:2401.15679 v1 · 2024-01-28 · 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{TAH2DFM454ZMV6FBEVKW33S7J2}

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

1 paper in Pith

Tollmien-Schlichting waves near neutral stable curve

Receipt and verification

First computed	2026-07-05T07:38:38.448732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980fa1959cef32caf8a125556dee5f4e95978339d1d19c124364f5bd6e671b99

Aliases

arxiv: 2401.15679 · arxiv_version: 2401.15679v1 · doi: 10.48550/arxiv.2401.15679 · pith_short_12: TAH2DFM454ZM · pith_short_16: TAH2DFM454ZMV6FB · pith_short_8: TAH2DFM4

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/TAH2DFM454ZMV6FBEVKW33S7J2 \
  | 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: 980fa1959cef32caf8a125556dee5f4e95978339d1d19c124364f5bd6e671b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802d61155b97c21fb96bec22b6ccfbf13a03209432189d9118da02f50a69bcc5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-01-28T15:22:10Z",
    "title_canon_sha256": "13cd8cfc085bd3b3b63f1382056e2ec61a3260e427b1ee7b3869aa5f89aa1c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.15679",
    "kind": "arxiv",
    "version": 1
  }
}