Pith Number

pith:WUPLXQ4R

pith:2012:WUPLXQ4RGPEZZFBZWOAFAUE3IN

not attested not anchored not stored refs pending

On Two-Phase Flows with Soluble Surfactant

Dieter Bothe, Jan Pr\"uss, Matthias K\"ohne

arxiv:1210.8131 v1 · 2012-10-30 · math.AP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUPLXQ4RGPEZZFBZWOAFAUE3IN}

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	2026-05-18T03:41:56.945937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51ebbc39133c99c9439b38050509b4358c186a732296370e46c699c21c36057

Aliases

arxiv: 1210.8131 · arxiv_version: 1210.8131v1 · doi: 10.48550/arxiv.1210.8131 · pith_short_12: WUPLXQ4RGPEZ · pith_short_16: WUPLXQ4RGPEZZFBZ · pith_short_8: WUPLXQ4R

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/WUPLXQ4RGPEZZFBZWOAFAUE3IN \
  | 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: b51ebbc39133c99c9439b38050509b4358c186a732296370e46c699c21c36057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf06345cbe942497071d0bff1a6f2587d8db232f1e75500177279ada7669a09",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-30T19:35:15Z",
    "title_canon_sha256": "c55b7bbfc9c16907e9b3ec60c8fdc61a35ec7f0f9be9068b0adf1abc0dc514f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8131",
    "kind": "arxiv",
    "version": 1
  }
}