Pith Number

pith:R2QDCLSV

pith:2023:R2QDCLSVJVWRCLJZ5OHRLQCSQC

not attested not anchored not stored refs pending

Density-dependent incompressible Navier--Stokes equations in critical tent spaces

Ioann Vasilyev, Rapha\"el Danchin

arxiv:2305.09027 v2 · 2023-05-15 · 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{R2QDCLSVJVWRCLJZ5OHRLQCSQC}

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 well-posedness and self-similar solution of the inhomogeneous Navier-Stokes system

Receipt and verification

First computed	2026-07-05T06:36:11.906174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea0312e554d6d112d39eb8f15c05280b22a146e677f721575ef192b2ad7992c

Aliases

arxiv: 2305.09027 · arxiv_version: 2305.09027v2 · doi: 10.48550/arxiv.2305.09027 · pith_short_12: R2QDCLSVJVWR · pith_short_16: R2QDCLSVJVWRCLJZ · pith_short_8: R2QDCLSV

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/R2QDCLSVJVWRCLJZ5OHRLQCSQC \
  | 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: 8ea0312e554d6d112d39eb8f15c05280b22a146e677f721575ef192b2ad7992c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ffc58863ba4e0f76a8a6d031fac549628adc6cc986af56fd7065d8d5e345de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-05-15T21:23:26Z",
    "title_canon_sha256": "75bb5fcd467422a765fe61c4a2fde865cee8aa7796d6005ed4caadee4441dbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.09027",
    "kind": "arxiv",
    "version": 2
  }
}