Pith Number

pith:KUP46G7X

pith:2019:KUP46G7XGDY5ZZIUXOD73K54CY

not attested not anchored not stored refs pending

Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System

Carmen Gr\"a{\ss}le, Michael Hinterm\"uller, Michael Hinze, Tobias Keil

arxiv:1907.04285 v1 · 2019-07-09 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUP46G7XGDY5ZZIUXOD73K54CY}

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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

An optimal control problem for Stokes-Cahn-Hilliard-Oono equations with regular potential

Receipt and verification

First computed	2026-05-17T23:41:02.762620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

551fcf1bf730f1dce514bb87fdabbc1602150d9cbeae413ba5e2b0b3c42bfdfc

Aliases

arxiv: 1907.04285 · arxiv_version: 1907.04285v1 · doi: 10.48550/arxiv.1907.04285 · pith_short_12: KUP46G7XGDY5 · pith_short_16: KUP46G7XGDY5ZZIU · pith_short_8: KUP46G7X

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/KUP46G7XGDY5ZZIUXOD73K54CY \
  | 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: 551fcf1bf730f1dce514bb87fdabbc1602150d9cbeae413ba5e2b0b3c42bfdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c09fdb1e42607bcdfac3b40a84599e20b02125520590064593309e8431ad718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-09T16:41:37Z",
    "title_canon_sha256": "cf49107b722ad3f73ec8bdceddb329f761f504446d1f09e31af8712bf28a8063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04285",
    "kind": "arxiv",
    "version": 1
  }
}