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Pith Number

pith:6GLC7KUC

pith:2009:6GLC7KUC74ZPAY7PAOZ7CBSACF
not attested not anchored not stored refs pending

Analytic solutions for the two-phase Navier-Stokes equations with surface tension and gravity

Gieri Simonett, Jan Pruess

arxiv:0908.3332 v1 · 2009-08-23 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6GLC7KUC74ZPAY7PAOZ7CBSACF}

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 2026-05-18T00:54:51.377993Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f1962faa82ff32f063ef03b3f10640115700890d872e7591efeb8aa69522d8da

Aliases

arxiv: 0908.3332 · arxiv_version: 0908.3332v1 · doi: 10.48550/arxiv.0908.3332 · pith_short_12: 6GLC7KUC74ZP · pith_short_16: 6GLC7KUC74ZPAY7P · pith_short_8: 6GLC7KUC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6GLC7KUC74ZPAY7PAOZ7CBSACF \
  | 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: f1962faa82ff32f063ef03b3f10640115700890d872e7591efeb8aa69522d8da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "89649fae08f8fcd9e42e6faab539b43f84ca7397ef491ffb2bbdaa2862014b00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-08-23T19:59:09Z",
    "title_canon_sha256": "2376c26fa3681b1a95e3feec04695ee3e5d51b082716d80b22dcb36c4c07e3dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3332",
    "kind": "arxiv",
    "version": 1
  }
}