Pith Number

pith:ZMNZF6EP

pith:2013:ZMNZF6EP5TQ5E5DNJ5DKP7RO6O

not attested not anchored not stored refs pending

On incompressible two-phase flows with phase transitions and variable surface tension

Gieri Simonett, Jan Pruess, Mathias Wilke, Senjo Shimizu

arxiv:1310.4341 v2 · 2013-10-16 · 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{ZMNZF6EP5TQ5E5DNJ5DKP7RO6O}

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	2026-05-18T02:51:23.143575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb1b92f88fece1d2746d4f46a7fe2ef38f4f163f4a8313ce97db72a00d20e20b

Aliases

arxiv: 1310.4341 · arxiv_version: 1310.4341v2 · doi: 10.48550/arxiv.1310.4341 · pith_short_12: ZMNZF6EP5TQ5 · pith_short_16: ZMNZF6EP5TQ5E5DN · pith_short_8: ZMNZF6EP

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/ZMNZF6EP5TQ5E5DNJ5DKP7RO6O \
  | 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: cb1b92f88fece1d2746d4f46a7fe2ef38f4f163f4a8313ce97db72a00d20e20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e9e3cc4a554254371dd85273420187425f0b0a51c48ba5d90e6c53ec235a3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-16T12:05:58Z",
    "title_canon_sha256": "dafc03a2b1b2ec553066668d1fa096a25a78802645557c68a4be57761abffc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4341",
    "kind": "arxiv",
    "version": 2
  }
}