Pith Number

pith:ZEQNHP4D

pith:2025:ZEQNHP4DJ2EOBX2XVSXEPKFL5F

not attested not anchored not stored refs pending

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

In-Jee Jeong, Luis Mart\'inez-Zoroa, Wojciech S. O\.za\'nski

arxiv:2508.06333 v1 · 2025-08-08 · 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{ZEQNHP4DJ2EOBX2XVSXEPKFL5F}

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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

3 papers in Pith

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

On the blowup rate of vorticity for the Euler equations in a bounded domain

Receipt and verification

First computed	2026-07-05T11:50:54.423801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c920d3bf834e88e0df57acae47a8abe94249b1f61b4919ddd332ab56292a815f

Aliases

arxiv: 2508.06333 · arxiv_version: 2508.06333v1 · doi: 10.48550/arxiv.2508.06333 · pith_short_12: ZEQNHP4DJ2EO · pith_short_16: ZEQNHP4DJ2EOBX2X · pith_short_8: ZEQNHP4D

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/ZEQNHP4DJ2EOBX2XVSXEPKFL5F \
  | 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: c920d3bf834e88e0df57acae47a8abe94249b1f61b4919ddd332ab56292a815f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73be5af95768ee0434fcf23b3b81b213bc5740feb0a074c4534c03d7850ac256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-08T14:08:30Z",
    "title_canon_sha256": "eadffc4ac5201e1f2a74936c7bb6df7fe6f20e8511503e434ef9ff4bd77f0d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06333",
    "kind": "arxiv",
    "version": 1
  }
}