Pith Number

pith:JTDVRZLZ

pith:2026:JTDVRZLZTBN4W55VYHEXXQTBU6

not attested not anchored not stored refs pending

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces

Karim R. Shikh Khalil

arxiv:2606.08924 v1 · 2026-06-08 · 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{JTDVRZLZTBN4W55VYHEXXQTBU6}

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	2026-06-09T02:07:47.620256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc758e579985bcb77b5c1c97bc261a797dc94cf8788570ba299f05dde80613e

Aliases

arxiv: 2606.08924 · arxiv_version: 2606.08924v1 · doi: 10.48550/arxiv.2606.08924 · pith_short_12: JTDVRZLZTBN4 · pith_short_16: JTDVRZLZTBN4W55V · pith_short_8: JTDVRZLZ

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/JTDVRZLZTBN4W55VYHEXXQTBU6 \
  | 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: 4cc758e579985bcb77b5c1c97bc261a797dc94cf8788570ba299f05dde80613e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef262540c14dcc5f37c2a4d02a914d79b84da612ff714350b017f78af03e86a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-08T02:03:52Z",
    "title_canon_sha256": "ab147d33553c3de9bd552f680b5f587ac73106f840de4e81d96882852385df79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08924",
    "kind": "arxiv",
    "version": 1
  }
}