Pith Number

pith:YHPL6CQP

pith:2026:YHPL6CQP55AWGWFTU7XRSE6B37

not attested not anchored not stored refs pending

Self-similar blow-up solutions of incompressible Euler equations in $\mathbb R^d, d\geq 3$ with $C^{1,1-2/d-}$ velocity

Dongyi Wei, Feng Shao, Ping Zhang, Zhifei Zhang

arxiv:2605.19716 v1 · 2026-05-19 · 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{YHPL6CQP55AWGWFTU7XRSE6B37}

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	2026-05-20T01:06:10.771578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1debf0a0fef416358b3a7ef1913c1dfc326594df3354777ecbf3e972f5eabd9

Aliases

arxiv: 2605.19716 · arxiv_version: 2605.19716v1 · doi: 10.48550/arxiv.2605.19716 · pith_short_12: YHPL6CQP55AW · pith_short_16: YHPL6CQP55AWGWFT · pith_short_8: YHPL6CQP

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/YHPL6CQP55AWGWFTU7XRSE6B37 \
  | 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: c1debf0a0fef416358b3a7ef1913c1dfc326594df3354777ecbf3e972f5eabd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc775b04b3a0bda557eac4df13fa1aa2939baec8ddacab096b39aab81cc5148c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T11:51:30Z",
    "title_canon_sha256": "b8c35db1213acc8935cfdfd6b967d598c6e35dbe87286a0737f482d4f5cdcd3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19716",
    "kind": "arxiv",
    "version": 1
  }
}