Pith Number

pith:6C6SHRU5

pith:2025:6C6SHRU5YOFQOGIDQYRPFKMGEU

not attested not anchored not stored refs pending

System size and boundaries determine the patterning dynamics of attracting active particles

Alexander Aulehla, Anna Erzberger, Jan Rombouts, Michael L Zhao

arxiv:2509.08533 v1 · 2025-09-10 · nlin.PS · cond-mat.soft · nlin.AO · physics.bio-ph · q-bio.CB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6C6SHRU5YOFQOGIDQYRPFKMGEU}

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	2026-07-05T12:08:31.955458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bd23c69dc38b0719038622f2a9862528cfc54e159712450bdf424e34d0ba84

Aliases

arxiv: 2509.08533 · arxiv_version: 2509.08533v1 · doi: 10.48550/arxiv.2509.08533 · pith_short_12: 6C6SHRU5YOFQ · pith_short_16: 6C6SHRU5YOFQOGID · pith_short_8: 6C6SHRU5

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/6C6SHRU5YOFQOGIDQYRPFKMGEU \
  | 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: f0bd23c69dc38b0719038622f2a9862528cfc54e159712450bdf424e34d0ba84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740cfbfba5413af5e44de69fc96024428a8908994f44bb8c00107da2e7e878e7",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "nlin.AO",
      "physics.bio-ph",
      "q-bio.CB"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2025-09-10T12:22:07Z",
    "title_canon_sha256": "a3552424f7df9819d141426073f1c034104b251cdb1ffdbebe9700b27aff4098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08533",
    "kind": "arxiv",
    "version": 1
  }
}