Pith Number

pith:3TSUDZHD

pith:2011:3TSUDZHDLEPXKY5MAD66PEBWHH

not attested not anchored not stored refs pending

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

G. Gr\"un, H. Abels, H. Garcke

arxiv:1104.1336 v1 · 2011-04-07 · 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{3TSUDZHDLEPXKY5MAD66PEBWHH}

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	2026-05-18T04:24:52.417339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce541e4e3591f7563ac00fde7903639e1198d5d8556ed42d2a20d4e3f92cd79

Aliases

arxiv: 1104.1336 · arxiv_version: 1104.1336v1 · doi: 10.48550/arxiv.1104.1336 · pith_short_12: 3TSUDZHDLEPX · pith_short_16: 3TSUDZHDLEPXKY5M · pith_short_8: 3TSUDZHD

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/3TSUDZHDLEPXKY5MAD66PEBWHH \
  | 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: dce541e4e3591f7563ac00fde7903639e1198d5d8556ed42d2a20d4e3f92cd79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ff75456cc17bca3d7bc103800e91a77a8782ff2f51b4bf263a0c38b1bbca32",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-04-07T14:08:52Z",
    "title_canon_sha256": "a3d0a7a02d0590619eaf878597fead6367841e51ca5f6f33c9fcae7ce39f7210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1336",
    "kind": "arxiv",
    "version": 1
  }
}