Pith Number

pith:5FZPXN4K

pith:2012:5FZPXN4K2YVH6K3VTZ4I2PYWEL

not attested not anchored not stored refs pending

On an Incompressible Navier-Stokes/Cahn-Hilliard System with Degenerate Mobility

Daniel Depner, Harald Garcke, Helmut Abels

arxiv:1210.1011 v1 · 2012-10-03 · 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{5FZPXN4K2YVH6K3VTZ4I2PYWEL}

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	2026-05-18T01:54:11.229591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e972fbb78ad62a7f2b759e788d3f1622dbfb24fe611c3024df9ad5c07f0f8e6c

Aliases

arxiv: 1210.1011 · arxiv_version: 1210.1011v1 · doi: 10.48550/arxiv.1210.1011 · pith_short_12: 5FZPXN4K2YVH · pith_short_16: 5FZPXN4K2YVH6K3V · pith_short_8: 5FZPXN4K

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/5FZPXN4K2YVH6K3VTZ4I2PYWEL \
  | 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: e972fbb78ad62a7f2b759e788d3f1622dbfb24fe611c3024df9ad5c07f0f8e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20fbaf21f7621654a01aac145ceb020aaee2d3fc2b2235d378967a2ab52b1029",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-03T07:25:10Z",
    "title_canon_sha256": "5e87ab2c1e6e85d4005b989b2d64185cc4c917c3e3cc908c3d2192790567ca3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1011",
    "kind": "arxiv",
    "version": 1
  }
}