Pith Number

pith:P43F44Y5

pith:2011:P43F44Y5E7QENBRKOECMMOVWFN

not attested not anchored not stored refs pending

Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities

Daniel Depner, Harald Garcke, Helmut Abels

arxiv:1111.2493 v2 · 2011-11-10 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P43F44Y5E7QENBRKOECMMOVWFN}

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	2026-05-18T01:59:42.578036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f365e731d27e046862a7104c63ab62b5770b7c0ce099497a92811be134f70c1

Aliases

arxiv: 1111.2493 · arxiv_version: 1111.2493v2 · doi: 10.48550/arxiv.1111.2493 · pith_short_12: P43F44Y5E7QE · pith_short_16: P43F44Y5E7QENBRK · pith_short_8: P43F44Y5

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/P43F44Y5E7QENBRKOECMMOVWFN \
  | 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: 7f365e731d27e046862a7104c63ab62b5770b7c0ce099497a92811be134f70c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b5c3fc588d59272dae92459c285234054cc19f1cdf7c8ec48b07a7a901ff9b",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-10T14:53:46Z",
    "title_canon_sha256": "f995bb4130dfe88728a7dbc8aa588f09278cd3e2bb6b791b846f057431cdb1c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2493",
    "kind": "arxiv",
    "version": 2
  }
}