Pith Number

pith:KZXYZMUT

pith:2025:KZXYZMUTZ26DTA3HCEUZNUDBZJ

not attested not anchored not stored refs pending

Euler-Lagrange study of Microbubble-Laden Turbulent Flow over Superhydrophobic surfaces

Byeong-Cheon Kim, Jaemoon Yoon, Jaiyoung Ryu, Kyoungsik Chang, Minjae Kim, Sang-Wook Lee

arxiv:2504.07377 v1 · 2025-04-10 · physics.flu-dyn · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZXYZMUTZ26DTA3HCEUZNUDBZJ}

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	2026-07-05T10:47:07.818685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566f8cb293cebc398367112996d061ca486c2b9ce0453e98ecfe728492ba5818

Aliases

arxiv: 2504.07377 · arxiv_version: 2504.07377v1 · doi: 10.48550/arxiv.2504.07377 · pith_short_12: KZXYZMUTZ26D · pith_short_16: KZXYZMUTZ26DTA3H · pith_short_8: KZXYZMUT

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/KZXYZMUTZ26DTA3HCEUZNUDBZJ \
  | 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: 566f8cb293cebc398367112996d061ca486c2b9ce0453e98ecfe728492ba5818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011cd41f72a8a8013ece9904ea37ea655c901e28d4da2fbde1ab4d8381523835",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-04-10T01:33:29Z",
    "title_canon_sha256": "4d3fee808b801165ef76d0e576d5272c4cd6b4de3b8f378c99e72323c1c779db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07377",
    "kind": "arxiv",
    "version": 1
  }
}