Pith Number

pith:RPB5DGZ2

pith:2019:RPB5DGZ2OKBO5CIAPSYWRP7EP5

not attested not anchored not stored refs pending

Interpolation, extrapolation, Morrey spaces and local energy control for the Navier--Stokes equations

Pierre Gilles Lemari\'e-Rieusset (LaMME)

arxiv:1901.05649 v1 · 2019-01-17 · 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{RPB5DGZ2OKBO5CIAPSYWRP7EP5}

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.

Cited by

1 paper in Pith

Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations

Receipt and verification

First computed	2026-05-17T23:56:06.541411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc3d19b3a7282ee89007cb168bfe47f6d1fc5952882c3c02339488029f50e3c

Aliases

arxiv: 1901.05649 · arxiv_version: 1901.05649v1 · doi: 10.48550/arxiv.1901.05649 · pith_short_12: RPB5DGZ2OKBO · pith_short_16: RPB5DGZ2OKBO5CIA · pith_short_8: RPB5DGZ2

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/RPB5DGZ2OKBO5CIAPSYWRP7EP5 \
  | 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: 8bc3d19b3a7282ee89007cb168bfe47f6d1fc5952882c3c02339488029f50e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36275f420e5454ce20757b8b72401001a80eefb1b9768c18cda691883367182f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-17T07:07:19Z",
    "title_canon_sha256": "2df93a88dc4d40721dc8e7cf4b514308cd8daaa8fb3c26d43f8a55c114cf4759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05649",
    "kind": "arxiv",
    "version": 1
  }
}