Pith Number

pith:QWX45QWW

pith:2026:QWX45QWWJ3PVU5XSR2MFLH4WOG

not attested not anchored not stored refs pending

Energetic characterisation of transient clustering dynamics in aggregation-diffusion systems

Carsten Hartmann, Nathalie Wehlitz, Richard Scherzer, Stefanie Winkelmann

arxiv:2605.30243 v1 · 2026-05-28 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWX45QWWJ3PVU5XSR2MFLH4WOG}

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	2026-05-29T02:06:13.753245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85afcec2d64edf5a76f28e98559f9671b28c9d787c15b238c697f7c50f255b5f

Aliases

arxiv: 2605.30243 · arxiv_version: 2605.30243v1 · doi: 10.48550/arxiv.2605.30243 · pith_short_12: QWX45QWWJ3PV · pith_short_16: QWX45QWWJ3PVU5XS · pith_short_8: QWX45QWW

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/QWX45QWWJ3PVU5XSR2MFLH4WOG \
  | 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: 85afcec2d64edf5a76f28e98559f9671b28c9d787c15b238c697f7c50f255b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95d50fc820f9c264a738334155e64d33486894223348f09997ab622bdca7bfe",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-28T17:10:55Z",
    "title_canon_sha256": "e52261e943bf9f2c73dbfd38ebe285ffcd22df28c1e79b4ea789d5429584b2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30243",
    "kind": "arxiv",
    "version": 1
  }
}