Pith Number

pith:4GGPCTC7

pith:2017:4GGPCTC7FR2GQT3SWTW3LZ4P22

not attested not anchored not stored refs pending

Green function for linearized Navier-Stokes around a boundary layer profile: near critical layers

Emmanuel Grenier, Toan T. Nguyen

arxiv:1705.05323 v1 · 2017-05-15 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GGPCTC7FR2GQT3SWTW3LZ4P22}

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	2026-05-18T00:44:30.819973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18cf14c5f2c74684f72b4edb5e78fd6854b25bab370816bf785adc5c927b6ba

Aliases

arxiv: 1705.05323 · arxiv_version: 1705.05323v1 · doi: 10.48550/arxiv.1705.05323 · pith_short_12: 4GGPCTC7FR2G · pith_short_16: 4GGPCTC7FR2GQT3S · pith_short_8: 4GGPCTC7

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/4GGPCTC7FR2GQT3SWTW3LZ4P22 \
  | 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: e18cf14c5f2c74684f72b4edb5e78fd6854b25bab370816bf785adc5c927b6ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e05bd6a3e74d5ca08cf2053f4d19fc870f268658a6e245e7e080c987ae7653bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-15T16:43:01Z",
    "title_canon_sha256": "7484ea033592a9875f7cb9275954db17bb0284af76d5624ba35441f6dcf69915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05323",
    "kind": "arxiv",
    "version": 1
  }
}