Pith Number

pith:3HPYAEKI

pith:2015:3HPYAEKIT5MSAHQAYQCIBC6LPO

not attested not anchored not stored refs pending

The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system

Eduard Feireisl, Lars Diening, Yong Lu

arxiv:1509.09269 v2 · 2015-09-30 · 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{3HPYAEKIT5MSAHQAYQCIBC6LPO}

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	2026-05-18T01:17:52.451644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9df8011489f59201e00c404808bcb7ba2998440baf779b9e4bdc66b798e764d

Aliases

arxiv: 1509.09269 · arxiv_version: 1509.09269v2 · doi: 10.48550/arxiv.1509.09269 · pith_short_12: 3HPYAEKIT5MS · pith_short_16: 3HPYAEKIT5MSAHQA · pith_short_8: 3HPYAEKI

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/3HPYAEKIT5MSAHQAYQCIBC6LPO \
  | 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: d9df8011489f59201e00c404808bcb7ba2998440baf779b9e4bdc66b798e764d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4ac46f5aa6c4955843322dcd71d835b7174f74643ef930207e6498d6f5f742",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-30T17:46:21Z",
    "title_canon_sha256": "8318ded105e3aed12fee136af23cb211cbdfd9181a2f5bd64d86a6bf2325c9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09269",
    "kind": "arxiv",
    "version": 2
  }
}