Pith Number

pith:SF5HF45Q

pith:2016:SF5HF45Q7PCACGAKVKG4TPK46E

not attested not anchored not stored refs pending

Gevrey Stability of Prandtl Expansions for 2D Navier-Stokes

David Gerard-Varet, Nader Masmoudi, Yasunori Maekawa

arxiv:1607.06434 v1 · 2016-07-21 · 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{SF5HF45Q7PCACGAKVKG4TPK46E}

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	2026-05-18T00:00:46.027427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917a72f3b0fbc401180aaa8dc9bd5cf12a69a502acaf3ff48d5aa4301c417f99

Aliases

arxiv: 1607.06434 · arxiv_version: 1607.06434v1 · doi: 10.48550/arxiv.1607.06434 · pith_short_12: SF5HF45Q7PCA · pith_short_16: SF5HF45Q7PCACGAK · pith_short_8: SF5HF45Q

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/SF5HF45Q7PCACGAKVKG4TPK46E \
  | 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: 917a72f3b0fbc401180aaa8dc9bd5cf12a69a502acaf3ff48d5aa4301c417f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b80001eb7a79a5bcacb3e2357df71ffb73454f90b92c4ba1f7bbb8cfa1865d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-21T19:12:05Z",
    "title_canon_sha256": "7eb69150e98fe2449914f7e4baee1139bd2c4bdf2e53ef5e065f7ab471c10c35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06434",
    "kind": "arxiv",
    "version": 1
  }
}