Pith Number

pith:4RXDU6HE

pith:2025:4RXDU6HEGHDFXMCDCSXLWR7T3O

not attested not anchored not stored refs pending

Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions

Harald Garcke, Helmut Abels, Julia Wittmann

arxiv:2505.05383 v1 · 2025-05-08 · 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{4RXDU6HEGHDFXMCDCSXLWR7T3O}

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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

A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction

Receipt and verification

First computed	2026-07-05T11:00:23.471033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46e3a78e431c65bb04314aebb47f3db8a3947f336f302bae7bc31558de925fc

Aliases

arxiv: 2505.05383 · arxiv_version: 2505.05383v1 · doi: 10.48550/arxiv.2505.05383 · pith_short_12: 4RXDU6HEGHDF · pith_short_16: 4RXDU6HEGHDFXMCD · pith_short_8: 4RXDU6HE

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/4RXDU6HEGHDFXMCDCSXLWR7T3O \
  | 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: e46e3a78e431c65bb04314aebb47f3db8a3947f336f302bae7bc31558de925fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56417c0465442e219299c1c72c71696d3fc463706356fdf9414cb4b5c1ecf44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-08T16:15:31Z",
    "title_canon_sha256": "b82f814560269f982bb5bfe2c9c0633288cc55540c1851cec725f4597bad647f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.05383",
    "kind": "arxiv",
    "version": 1
  }
}