Pith Number

pith:E4INSEIH

pith:2016:E4INSEIH42HEFN4VDY5CRFNIX4

not attested not anchored not stored refs pending

Ill-posedness for the incompressible Euler equations in critical Sobolev spaces

In-Jee Jeong, Tarek Mohamed Elgindi

arxiv:1603.07820 v2 · 2016-03-25 · 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{E4INSEIH42HEFN4VDY5CRFNIX4}

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	2026-05-18T00:55:34.282759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2710d91107e68e42b7951e3a2895a8bf29f88a66fac72f0bca0b9fa6fd6dffee

Aliases

arxiv: 1603.07820 · arxiv_version: 1603.07820v2 · doi: 10.48550/arxiv.1603.07820 · pith_short_12: E4INSEIH42HE · pith_short_16: E4INSEIH42HEFN4V · pith_short_8: E4INSEIH

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/E4INSEIH42HEFN4VDY5CRFNIX4 \
  | 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: 2710d91107e68e42b7951e3a2895a8bf29f88a66fac72f0bca0b9fa6fd6dffee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3caa6ee38aca1de2927e6fd94b83c75f6c8e4b26deb1e473ee3fff5ce18155a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-25T04:52:48Z",
    "title_canon_sha256": "4f88441fc975bdb6b9fe942462e506ced81da6599695c192d2ca35a66469cbf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07820",
    "kind": "arxiv",
    "version": 2
  }
}