pith. sign in
Pith Number

pith:YT4HC4GL

pith:2018:YT4HC4GLHDAO5GFVQYFUBUCPDX
not attested not anchored not stored refs pending

$W^{1,p}$ regularity of solutions to Kolmogorov equation with Gilbarg-Serrin matrix

D.Kinzebulatov, Yu.A.Semenov

arxiv:1802.05167 v2 · 2018-02-14 · math.AP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YT4HC4GLHDAO5GFVQYFUBUCPDX}

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 2026-05-17T23:47:03.523066Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c4f87170cb38c0ee98b5860b40d04f1dea4be9f8c452e3bfdeafdec17f9dce70

Aliases

arxiv: 1802.05167 · arxiv_version: 1802.05167v2 · doi: 10.48550/arxiv.1802.05167 · pith_short_12: YT4HC4GLHDAO · pith_short_16: YT4HC4GLHDAO5GFV · pith_short_8: YT4HC4GL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YT4HC4GLHDAO5GFVQYFUBUCPDX \
  | 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: c4f87170cb38c0ee98b5860b40d04f1dea4be9f8c452e3bfdeafdec17f9dce70
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4debd9f5b6d3f391d39e814570d0f6932f87b80006f83a4e7e38d516abffe61e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-14T15:47:52Z",
    "title_canon_sha256": "a0387d9397a5f39fbd0dd7384d4123d369ddf3ae85060dee6d420a504007e0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05167",
    "kind": "arxiv",
    "version": 2
  }
}