Pith Number

pith:LSUXBN2O

pith:2021:LSUXBN2OP2VIWN4WP5TITTHBBS

not attested not anchored not stored refs pending

An efficient phase-field method for turbulent multiphase flows

Chong Shen Ng, Detlef Lohse, Hao-Ran Liu, Kai Leong Chong, Roberto Verzicco

arxiv:2105.01865 v1 · 2021-05-05 · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSUXBN2OP2VIWN4WP5TITTHBBS}

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	2026-07-05T04:25:34.430766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca970b74e7eaa8b37967f6689cce10c9b6d5ed140fdfb7a22ab92d28075e9ff

Aliases

arxiv: 2105.01865 · arxiv_version: 2105.01865v1 · doi: 10.48550/arxiv.2105.01865 · pith_short_12: LSUXBN2OP2VI · pith_short_16: LSUXBN2OP2VIWN4W · pith_short_8: LSUXBN2O

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/LSUXBN2OP2VIWN4WP5TITTHBBS \
  | 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: 5ca970b74e7eaa8b37967f6689cce10c9b6d5ed140fdfb7a22ab92d28075e9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93de5ba6275cc895f278e5a37b5862335c506d2282adc10a70c1b054ca968f43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-05-05T04:44:39Z",
    "title_canon_sha256": "b1840b366bcb9c4f73bcd8ee1d2715d764850c0a6b3473a25b2a69aa104de905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01865",
    "kind": "arxiv",
    "version": 1
  }
}