Pith Number

pith:YYEGNUNG

pith:2010:YYEGNUNG5XGAX3ZGLAII3M74JS

not attested not anchored not stored refs pending

Thermodynamically Consistent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities

G\"unther Gr\"un, Harald Garcke, Helmut Abels

arxiv:1011.0528 v1 · 2010-11-02 · physics.flu-dyn · 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{YYEGNUNG5XGAX3ZGLAII3M74JS}

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	2026-05-18T04:37:21.413622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60866d1a6edcc0bef2658108db3fc4c8be8ef6d2333514869eec4eb2ce4cbe2

Aliases

arxiv: 1011.0528 · arxiv_version: 1011.0528v1 · doi: 10.48550/arxiv.1011.0528 · pith_short_12: YYEGNUNG5XGA · pith_short_16: YYEGNUNG5XGAX3ZG · pith_short_8: YYEGNUNG

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/YYEGNUNG5XGAX3ZGLAII3M74JS \
  | 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: c60866d1a6edcc0bef2658108db3fc4c8be8ef6d2333514869eec4eb2ce4cbe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c41c3e30fb8456beee6776c99e28ce06770bd148aa1ba8c53554c360f545b5ee",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2010-11-02T07:15:44Z",
    "title_canon_sha256": "578919a2c2ee8d7d656364ac6a159ee409113307d29a5e9a0ca54ff920402454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0528",
    "kind": "arxiv",
    "version": 1
  }
}