Pith Number

pith:IDTODZ4H

pith:2026:IDTODZ4HFAYIRYKYTUVMQT4SLJ

not attested not anchored not stored refs pending

Sharp Ill-Posedness of the Euler Equations in Lorentz Spaces

Alexey Cheskidov, Jeaheang Bang

arxiv:2605.16502 v1 · 2026-05-15 · 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{IDTODZ4HFAYIRYKYTUVMQT4SLJ}

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	2026-05-20T00:02:26.038864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e6e1e787283088e1589d2ac84f925a6854255a9fab4f12755e00d4a2fd23d5

Aliases

arxiv: 2605.16502 · arxiv_version: 2605.16502v1 · doi: 10.48550/arxiv.2605.16502 · pith_short_12: IDTODZ4HFAYI · pith_short_16: IDTODZ4HFAYIRYKY · pith_short_8: IDTODZ4H

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/IDTODZ4HFAYIRYKYTUVMQT4SLJ \
  | 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: 40e6e1e787283088e1589d2ac84f925a6854255a9fab4f12755e00d4a2fd23d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61317b2ec889bcd76e1001823d5ccd219a3e808639fdf0c10f3c70c9867ab308",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-15T18:00:43Z",
    "title_canon_sha256": "a12c759b4aaba1c6b9f4d8430de7e1de4861cd63fdd6c81fc1b6ee2711734eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16502",
    "kind": "arxiv",
    "version": 1
  }
}