Pith Number

pith:YNVBMOWO

pith:2025:YNVBMOWOLVGF4RSSQ5BT6IJNS4

not attested not anchored not stored refs pending

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space

Motofumi Aoki, Yasunori Maekawa

arxiv:2507.02338 v1 · 2025-07-03 · 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{YNVBMOWOLVGF4RSSQ5BT6IJNS4}

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	2026-07-05T11:31:16.242056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36a163ace5d4c5e465287433f212d972e94e4e2061645f8bbba7d138cb22c5b

Aliases

arxiv: 2507.02338 · arxiv_version: 2507.02338v1 · doi: 10.48550/arxiv.2507.02338 · pith_short_12: YNVBMOWOLVGF · pith_short_16: YNVBMOWOLVGF4RSS · pith_short_8: YNVBMOWO

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/YNVBMOWOLVGF4RSSQ5BT6IJNS4 \
  | 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: c36a163ace5d4c5e465287433f212d972e94e4e2061645f8bbba7d138cb22c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "091b869e37f7302bf7b5dd6d309a9ba287c06756b3ed0f62c2a8e8e8ed5a6c28",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-03T06:03:54Z",
    "title_canon_sha256": "e503cb299bab1d4e2097110f296d8a5e9425049a3e03d209125564c4e27d2983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02338",
    "kind": "arxiv",
    "version": 1
  }
}