Pith Number

pith:PXET7MRD

pith:2017:PXET7MRD3H22EBVUZJW6AIB24S

not attested not anchored not stored refs pending

On the $\mathrm{L}^p$-theory of the Navier--Stokes equations on three-dimensional bounded Lipschitz domains

Patrick Tolksdorf

arxiv:1703.01091 v2 · 2017-03-03 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXET7MRD3H22EBVUZJW6AIB24S}

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	2026-05-18T00:24:04.527678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc93fb223d9f5a206b4ca6de0203ae4ab2eb58471173c3624e34c5d5a3d4612

Aliases

arxiv: 1703.01091 · arxiv_version: 1703.01091v2 · doi: 10.48550/arxiv.1703.01091 · pith_short_12: PXET7MRD3H22 · pith_short_16: PXET7MRD3H22EBVU · pith_short_8: PXET7MRD

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/PXET7MRD3H22EBVUZJW6AIB24S \
  | 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: 7dc93fb223d9f5a206b4ca6de0203ae4ab2eb58471173c3624e34c5d5a3d4612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b50746fde221e3bc6df98a7793347ddd1ef44290551d5d8d2854c6508cd16d6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-03T09:36:35Z",
    "title_canon_sha256": "be4558d64b5183deaf7e5728c2f3cd9145098f485de2a3f707ed0254e5687093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01091",
    "kind": "arxiv",
    "version": 2
  }
}