Pith Number

pith:DFWZR3NG

pith:2025:DFWZR3NG4RAPGYSQKYSYLYAEPX

not attested not anchored not stored refs pending

Polydisperse collision kernels in droplet-laden turbulence with implications for rain formation

Daniel W. Meyer, L. A. Codispoti, Patrick Jenny

arxiv:2507.15326 v3 · 2025-07-21 · 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{DFWZR3NG4RAPGYSQKYSYLYAEPX}

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	2026-06-04T01:08:30.515972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196d98eda6e440f36250562585e0047dde8379747b099e954ae14c3bdace2b72

Aliases

arxiv: 2507.15326 · arxiv_version: 2507.15326v3 · doi: 10.48550/arxiv.2507.15326 · pith_short_12: DFWZR3NG4RAP · pith_short_16: DFWZR3NG4RAPGYSQ · pith_short_8: DFWZR3NG

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/DFWZR3NG4RAPGYSQKYSYLYAEPX \
  | 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: 196d98eda6e440f36250562585e0047dde8379747b099e954ae14c3bdace2b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1717e57aae6a66e79ba793f811a04283d7c0284777713620747ece6f7afe1c85",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-07-21T07:33:11Z",
    "title_canon_sha256": "112e1802dfd36303789e6db56917aed7f86ab8124c374c4eb47ef28d3e961dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15326",
    "kind": "arxiv",
    "version": 3
  }
}