Pith Number

pith:DMYX5Q5W

pith:2018:DMYX5Q5WUXR5RLRSVF2G4OTNUQ

not attested not anchored not stored refs pending

$\mathcal W^{\alpha, p}$ and $C^{0,\gamma}$ regularity of solutions to $(\mu - \Delta + b \cdot \nabla)u=f$ with form-bounded vector fields

Damir Kinzebulatov

arxiv:1807.07597 v1 · 2018-07-19 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMYX5Q5WUXR5RLRSVF2G4OTNUQ}

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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.

Cited by

2 papers in Pith

Non-local SDEs, critical drifts and local blow-ups

Receipt and verification

First computed	2026-05-18T00:10:16.152144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b317ec3b6a5e3d8ae32a9746e3a6da413991e3e47ebcfffa3b6f5ad6bc78413

Aliases

arxiv: 1807.07597 · arxiv_version: 1807.07597v1 · doi: 10.48550/arxiv.1807.07597 · pith_short_12: DMYX5Q5WUXR5 · pith_short_16: DMYX5Q5WUXR5RLRS · pith_short_8: DMYX5Q5W

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/DMYX5Q5WUXR5RLRSVF2G4OTNUQ \
  | 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: 1b317ec3b6a5e3d8ae32a9746e3a6da413991e3e47ebcfffa3b6f5ad6bc78413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84412895b1f51b946df993209ebf817023f69ffacf2ab94cdfbcdaf4a45fd2e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-19T18:34:37Z",
    "title_canon_sha256": "0b47a9cdb240fd749f2f19a18f0d14b1f6937143cdd98fb4e67de4565fa6b5f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07597",
    "kind": "arxiv",
    "version": 1
  }
}