Pith Number

pith:J4ZI6BJR

pith:2018:J4ZI6BJRGNCM2IJXTKEVHZZSWM

not attested not anchored not stored refs pending

Separation for the stationary Prandtl equation

Anne-Laure Dalibard (LJLL), Nader Masmoudi (CIMS)

arxiv:1802.04039 v1 · 2018-02-12 · 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{J4ZI6BJRGNCM2IJXTKEVHZZSWM}

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

Formation of shocks for 2D isentropic compressible Euler

Receipt and verification

First computed	2026-05-18T00:23:49.613449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f328f05313344cd21379a8953e732b33fce56743d5adf6ab1c67860d69e4006

Aliases

arxiv: 1802.04039 · arxiv_version: 1802.04039v1 · doi: 10.48550/arxiv.1802.04039 · pith_short_12: J4ZI6BJRGNCM · pith_short_16: J4ZI6BJRGNCM2IJX · pith_short_8: J4ZI6BJR

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/J4ZI6BJRGNCM2IJXTKEVHZZSWM \
  | 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: 4f328f05313344cd21379a8953e732b33fce56743d5adf6ab1c67860d69e4006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b11b13b5bd09c89d559105dfb611bc5eae6f3ca0d9ef54d39b6addc0c38640",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-12T13:43:44Z",
    "title_canon_sha256": "9d60878c55570728fe708cd6559bac4ec810d19742cf005697378b8b54cd50f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04039",
    "kind": "arxiv",
    "version": 1
  }
}