Pith Number

pith:SZQO72QU

pith:2011:SZQO72QUDHW3LO6XPJ66U4TFJ2

not attested not anchored not stored refs pending

On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities

Gieri Simonett, Jan Pruess, Senjo Shimizu, Yoshihiro Shibata

arxiv:1109.2051 v1 · 2011-09-09 · 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{SZQO72QUDHW3LO6XPJ66U4TFJ2}

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	2026-05-18T00:54:51.355009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9660efea1419edb5bbd77a7dea72654e9d3250827c820c726ef4d05ba76e2e7f

Aliases

arxiv: 1109.2051 · arxiv_version: 1109.2051v1 · doi: 10.48550/arxiv.1109.2051 · pith_short_12: SZQO72QUDHW3 · pith_short_16: SZQO72QUDHW3LO6X · pith_short_8: SZQO72QU

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/SZQO72QUDHW3LO6XPJ66U4TFJ2 \
  | 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: 9660efea1419edb5bbd77a7dea72654e9d3250827c820c726ef4d05ba76e2e7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50583c8d6d6e8e46abc014e984a87613c680f01f1c8745f1afc8125bf58d5ab2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-09T16:02:03Z",
    "title_canon_sha256": "223d703070b0ac03e232d4078cefd08b2974a333b070b9432959c23dac56cecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2051",
    "kind": "arxiv",
    "version": 1
  }
}