Pith Number

pith:ZEUZIODJ

pith:2013:ZEUZIODJLVKN5RVIIKDNMHCYNX

not attested not anchored not stored refs pending

Qualitative behaviour of incompressible two-phase flows with phase transitions: The case of non-equal densities

Jan Pruess, Mathias Wilke, Senjo Shimizu

arxiv:1304.3302 v1 · 2013-04-11 · 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{ZEUZIODJLVKN5RVIIKDNMHCYNX}

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	2026-05-18T03:28:18.028455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9299438695d54dec6a84286d61c586dee7828e05076c45f93a548c2e4bb4f37

Aliases

arxiv: 1304.3302 · arxiv_version: 1304.3302v1 · doi: 10.48550/arxiv.1304.3302 · pith_short_12: ZEUZIODJLVKN · pith_short_16: ZEUZIODJLVKN5RVI · pith_short_8: ZEUZIODJ

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/ZEUZIODJLVKN5RVIIKDNMHCYNX \
  | 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: c9299438695d54dec6a84286d61c586dee7828e05076c45f93a548c2e4bb4f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42016387f158e94fedb7dcd9dc2ba753c1ad74d1fce098c6fdd878c6912da929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-11T14:00:39Z",
    "title_canon_sha256": "45ad9746f71a09974061e91c5f239a5897a454fae8fe7fb686139e778ca54336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3302",
    "kind": "arxiv",
    "version": 1
  }
}