Pith Number

pith:DDQ4WQCX

pith:2018:DDQ4WQCXTAFA5CVFYJ4372KHUY

not attested not anchored not stored refs pending

Condensational and collisional growth of cloud droplets in a turbulent environment

Axel Brandenburg, Bernhard Mehlig, Gunilla Svensson, Igor Rogachevskii, Nils Haugen, Xiang-Yu Li

arxiv:1807.11859 v7 · 2018-07-31 · physics.ao-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{DDQ4WQCXTAFA5CVFYJ4372KHUY}

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	2026-07-05T00:36:15.820926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e1cb4057980a0e8aa5c279bfe947a6281e0717cba56963eaa45819e5bdbd22

Aliases

arxiv: 1807.11859 · arxiv_version: 1807.11859v7 · doi: 10.48550/arxiv.1807.11859 · pith_short_12: DDQ4WQCXTAFA · pith_short_16: DDQ4WQCXTAFA5CVF · pith_short_8: DDQ4WQCX

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/DDQ4WQCXTAFA5CVFYJ4372KHUY \
  | 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: 18e1cb4057980a0e8aa5c279bfe947a6281e0717cba56963eaa45819e5bdbd22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32a4464d2a5de8019e0ddb6954fe1c7928d179668dffaae0050727053bfff88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ao-ph",
    "submitted_at": "2018-07-31T15:09:00Z",
    "title_canon_sha256": "bbc18aac06305e7f1d2cd2d082518d0831247620d3f2dd35e5f8b7e698cb26a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11859",
    "kind": "arxiv",
    "version": 7
  }
}