Pith Number

pith:ZNIVMRMT

pith:2019:ZNIVMRMT7LPBSW2PYPDRU5KMQ6

not attested not anchored not stored refs pending

Wellposedness of the discontinuous ODE associated with two-phase flows

Dieter Bothe

arxiv:1905.04560 v1 · 2019-05-11 · math.CA · math-ph · math.AP · math.MP · 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{ZNIVMRMT7LPBSW2PYPDRU5KMQ6}

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	2026-05-17T23:46:24.371892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb51564593fade195b4fc3c71a754c878120633b049fe0efea82d7319a80c84d

Aliases

arxiv: 1905.04560 · arxiv_version: 1905.04560v1 · doi: 10.48550/arxiv.1905.04560 · pith_short_12: ZNIVMRMT7LPB · pith_short_16: ZNIVMRMT7LPBSW2P · pith_short_8: ZNIVMRMT

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/ZNIVMRMT7LPBSW2PYPDRU5KMQ6 \
  | 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: cb51564593fade195b4fc3c71a754c878120633b049fe0efea82d7319a80c84d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7292ec0a01a3cb59e70c2d91723fd90bc22e8a08862a6ef564133f373dcf4f99",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-11T17:50:08Z",
    "title_canon_sha256": "c06adfd3f730b0de5adbc74bade35615c5adeb3dcb5dce757d4af4159fca05aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04560",
    "kind": "arxiv",
    "version": 1
  }
}