Pith Number

pith:QLBYE6JC

pith:2018:QLBYE6JCXNC47RQ5FBULF4CWOB

not attested not anchored not stored refs pending

On Caccioppoli's inequalities of Stokes equations and Navier-Stokes equations near boundary

Kyungkeun Kang, Tongkeun Chang

arxiv:1806.02516 v1 · 2018-06-07 · 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{QLBYE6JCXNC47RQ5FBULF4CWOB}

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	2026-05-18T00:13:56.545555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c3827922bb45cfc61d2868b2f0567041918c68502d1a70a8527e290c534d20

Aliases

arxiv: 1806.02516 · arxiv_version: 1806.02516v1 · doi: 10.48550/arxiv.1806.02516 · pith_short_12: QLBYE6JCXNC4 · pith_short_16: QLBYE6JCXNC47RQ5 · pith_short_8: QLBYE6JC

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/QLBYE6JCXNC47RQ5FBULF4CWOB \
  | 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: 82c3827922bb45cfc61d2868b2f0567041918c68502d1a70a8527e290c534d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a836e8a95b09a0120af3ac6fdc83d29994bbe5417abf8e3964af142232318c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-07T05:29:05Z",
    "title_canon_sha256": "854bb928c2064e93ea05e69d365085e222f859ebf06cd80ce3c681f9d5a94ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02516",
    "kind": "arxiv",
    "version": 1
  }
}