Pith Number

pith:7V3JYRWP

pith:2022:7V3JYRWP3TY7IZS3DXWW4PXBEM

not attested not anchored not stored refs pending

Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities

Andrea Giorgini, Harald Garcke, Helmut Abels

arxiv:2209.10836 v2 · 2022-09-22 · 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{7V3JYRWP3TY7IZS3DXWW4PXBEM}

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	2026-07-05T05:43:15.338531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd769c46cfdcf1f4665b1ded6e3ee1232bf7a0fecc1fb52d2752d8ae0662c052

Aliases

arxiv: 2209.10836 · arxiv_version: 2209.10836v2 · doi: 10.48550/arxiv.2209.10836 · pith_short_12: 7V3JYRWP3TY7 · pith_short_16: 7V3JYRWP3TY7IZS3 · pith_short_8: 7V3JYRWP

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/7V3JYRWP3TY7IZS3DXWW4PXBEM \
  | 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: fd769c46cfdcf1f4665b1ded6e3ee1232bf7a0fecc1fb52d2752d8ae0662c052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6045dab1aa9f3255549142da7c02753dccd0a771bb30b3b0631fb026578fce3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-22T07:44:36Z",
    "title_canon_sha256": "74736d19b8e58d0314f9da4a44e3ddd8c50648481cde96c9b1ed391330c0fa0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.10836",
    "kind": "arxiv",
    "version": 2
  }
}