Pith Number

pith:7ISPSG5R

pith:2026:7ISPSG5RH7MFJYDVC56TANW4J7

not attested not anchored not stored refs pending

A single length scale rules ballistic aggregation: travels of a droplet train

Antoine Parrenin, Aritro Mukherjee, Cees J.M. van Rijn, Daniel Bonn, Nathan Vani, Stefan Kooij

arxiv:2607.21315 v1 · 2026-07-23 · cond-mat.soft · cond-mat.stat-mech · 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{7ISPSG5RH7MFJYDVC56TANW4J7}

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	2026-07-24T01:24:25.362269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa24f91bb13fd854e075177d3036dc4ffe1abea051003e20519e434aded285cb

Aliases

arxiv: 2607.21315 · arxiv_version: 2607.21315v1 · doi: 10.48550/arxiv.2607.21315 · pith_short_12: 7ISPSG5RH7MF · pith_short_16: 7ISPSG5RH7MFJYDV · pith_short_8: 7ISPSG5R

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/7ISPSG5RH7MFJYDVC56TANW4J7 \
  | 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: fa24f91bb13fd854e075177d3036dc4ffe1abea051003e20519e434aded285cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d416b8aef2d5d89b3b7ee6d454248a3ff1ec631b594ddbf53a3ce6813a3731",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-07-23T13:39:01Z",
    "title_canon_sha256": "a767516fbe5c06dd3e45a44f673c9bf6d769f8f753b175dd116eef1d73335714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21315",
    "kind": "arxiv",
    "version": 1
  }
}