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Pith Number

pith:SQPHGIPB

pith:2014:SQPHGIPBLRD523IW6M36PK5RM7
not attested not anchored not stored refs pending

Spectral stability of Prandtl boundary layers: an overview

Emmanuel Grenier, Toan T. Nguyen, Yan Guo

arxiv:1406.4452 v1 · 2014-06-17 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SQPHGIPBLRD523IW6M36PK5RM7}

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 2026-05-18T02:49:32.029265Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

941e7321e15c47dd6d16f337e7abb167d15a96cee8313556a038c4d9479335b5

Aliases

arxiv: 1406.4452 · arxiv_version: 1406.4452v1 · doi: 10.48550/arxiv.1406.4452 · pith_short_12: SQPHGIPBLRD5 · pith_short_16: SQPHGIPBLRD523IW · pith_short_8: SQPHGIPB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SQPHGIPBLRD523IW6M36PK5RM7 \
  | 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: 941e7321e15c47dd6d16f337e7abb167d15a96cee8313556a038c4d9479335b5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2a9e9741e5191ae8ed2465caddb8810c7a73d3b6729a398dbcfe781856f5b9f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-17T17:54:32Z",
    "title_canon_sha256": "fa30f334192e43c638fad6ba4f2c8f394b0da29adf95debd98c0c8b3091b0182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4452",
    "kind": "arxiv",
    "version": 1
  }
}