Pith Number

pith:5SVHAYDN

pith:2019:5SVHAYDNZJMRVKMJAAV6XNSMCE

not attested not anchored not stored refs pending

Singularities and unsteady separation for the inviscid two-dimensional Prandtl's system

Charles Collot, Nader Masmoudi, Tej-Eddine Ghoul

arxiv:1903.08244 v2 · 2019-03-19 · 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{5SVHAYDNZJMRVKMJAAV6XNSMCE}

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	2026-07-05T02:12:51.868908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecaa70606dca591aa989002bebb64c11010eb3ed212f7f548908ba16a4424599

Aliases

arxiv: 1903.08244 · arxiv_version: 1903.08244v2 · doi: 10.48550/arxiv.1903.08244 · pith_short_12: 5SVHAYDNZJMR · pith_short_16: 5SVHAYDNZJMRVKMJ · pith_short_8: 5SVHAYDN

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/5SVHAYDNZJMRVKMJAAV6XNSMCE \
  | 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: ecaa70606dca591aa989002bebb64c11010eb3ed212f7f548908ba16a4424599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec61da502f361bc663bfa5e63ade2bfcf131372399dcd15ee4fa6b9343887b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-19T20:17:32Z",
    "title_canon_sha256": "b383edbd25e61b65caa231c82952bc7e9cd79ec7d2da1b5686c256ef9d4322fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08244",
    "kind": "arxiv",
    "version": 2
  }
}