Pith Number

pith:PCRZ2ZIM

pith:2016:PCRZ2ZIM4TRIB22Q7PLJTFONCM

not attested not anchored not stored refs pending

Two-phase flow with surfactants: Diffuse interface models and their analysis

Harald Garcke, Helmut Abels, Josef Weber, Kei Fong Lam

arxiv:1610.08221 v1 · 2016-10-26 · 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{PCRZ2ZIM4TRIB22Q7PLJTFONCM}

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	2026-05-18T01:01:14.685575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a39d650ce4e280eb50fbd69995cd132a6cb3e8a607dacfb339409d12044108

Aliases

arxiv: 1610.08221 · arxiv_version: 1610.08221v1 · doi: 10.48550/arxiv.1610.08221 · pith_short_12: PCRZ2ZIM4TRI · pith_short_16: PCRZ2ZIM4TRIB22Q · pith_short_8: PCRZ2ZIM

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/PCRZ2ZIM4TRIB22Q7PLJTFONCM \
  | 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: 78a39d650ce4e280eb50fbd69995cd132a6cb3e8a607dacfb339409d12044108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31efa7825fe9ba76fb31775688d9460ea8f42798cd805b88b84fc43b264fc767",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-10-26T07:52:44Z",
    "title_canon_sha256": "41828e7999a754f4836bd9f1ce0e0b72d9921ea03f329512990414ac9a279a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08221",
    "kind": "arxiv",
    "version": 1
  }
}