Pith Number

pith:5SRFWU4Z

pith:2015:5SRFWU4Z27GLFNTBJ2MNWX43Z3

not attested not anchored not stored refs pending

On some free boundary problem of the Navier-Stokes equations in the maximal $L_p$-$L_q$ regularity class

Yoshihiro Shibata

arxiv:1501.02054 v1 · 2015-01-09 · 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{5SRFWU4Z27GLFNTBJ2MNWX43Z3}

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	2026-05-18T02:29:44.937024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca25b5399d7ccb2b6614e98db5f9bcefbf141571093548f689180dfb483dd19

Aliases

arxiv: 1501.02054 · arxiv_version: 1501.02054v1 · doi: 10.48550/arxiv.1501.02054 · pith_short_12: 5SRFWU4Z27GL · pith_short_16: 5SRFWU4Z27GLFNTB · pith_short_8: 5SRFWU4Z

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/5SRFWU4Z27GLFNTBJ2MNWX43Z3 \
  | 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: eca25b5399d7ccb2b6614e98db5f9bcefbf141571093548f689180dfb483dd19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f10016e44c31475c834d7f17dc30d6bd7e09fc5b050c99a17facf6325ceb73",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-09T07:08:06Z",
    "title_canon_sha256": "e9ee0dc451a10e362ff7985b213ee83a49823f2276ea65079efc85a9a5e32cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02054",
    "kind": "arxiv",
    "version": 1
  }
}