Pith Number

pith:ZJDGB5KL

pith:2010:ZJDGB5KLT4DJZT63SB6ZJ7G2VO

not attested not anchored not stored refs pending

Qualitative Behaviour of Solutions for the Two-Phase Navier-Stokes Equations with Surface Tension

Jan Pruess, Mathias Wilke, Matthias K\"ohne

arxiv:1005.1023 v2 · 2010-05-06 · math.AP · math-ph · 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{ZJDGB5KLT4DJZT63SB6ZJ7G2VO}

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	2026-05-18T01:29:38.718812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4660f54b9f069ccfdb907d94fcdaab8c9a757478fe5e4595e43e2b937fbb38

Aliases

arxiv: 1005.1023 · arxiv_version: 1005.1023v2 · doi: 10.48550/arxiv.1005.1023 · pith_short_12: ZJDGB5KLT4DJ · pith_short_16: ZJDGB5KLT4DJZT63 · pith_short_8: ZJDGB5KL

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/ZJDGB5KLT4DJZT63SB6ZJ7G2VO \
  | 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: ca4660f54b9f069ccfdb907d94fcdaab8c9a757478fe5e4595e43e2b937fbb38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb67d45b9248531925aa5d71a1f94a9f819cbc40f6c40e187d6752d32c2fff5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-06T15:40:29Z",
    "title_canon_sha256": "be3d32cbdedcc073236299d2b6c3e94bb8e3e60b18f3acd8dc3f2043f896d695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1023",
    "kind": "arxiv",
    "version": 2
  }
}