Pith Number

pith:REREUS27

pith:2012:REREUS27V257PQKP2S3N3UKP5D

not attested not anchored not stored refs pending

Two-phase flow with mass density contrast: stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model

Fabian Klingbeil, G\"unther Gr\"un

arxiv:1210.5088 v1 · 2012-10-18 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REREUS27V257PQKP2S3N3UKP5D}

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	2026-05-18T03:42:54.322532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89224a4b5faebbf7c14fd4b6ddd14fe8ded71d7f52f466c6f034815c91d90401

Aliases

arxiv: 1210.5088 · arxiv_version: 1210.5088v1 · doi: 10.48550/arxiv.1210.5088 · pith_short_12: REREUS27V257 · pith_short_16: REREUS27V257PQKP · pith_short_8: REREUS27

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/REREUS27V257PQKP2S3N3UKP5D \
  | 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: 89224a4b5faebbf7c14fd4b6ddd14fe8ded71d7f52f466c6f034815c91d90401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6469951548c433773321cd6592128e27cb32300853e42d8810b405705134af4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-18T10:55:56Z",
    "title_canon_sha256": "98fc34348d417ee96273cf81750bf7872c6423dcba0df2b2396290091d441529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5088",
    "kind": "arxiv",
    "version": 1
  }
}