Pith Number

pith:YUUHVLQ2

pith:2025:YUUHVLQ2OLWLRHDNHX4DYWDVNC

not attested not anchored not stored refs pending

Equilibria of aggregation-diffusion models with nonlinear potentials

Edoardo Mainini, Francesco Bozzola

arxiv:2508.20523 v1 · 2025-08-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUUHVLQ2OLWLRHDNHX4DYWDVNC}

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	2026-07-05T12:00:54.160279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5287aae1a72ecb89c6d3df83c587568ba236f5d092c944c87ff11ad436fdcc3

Aliases

arxiv: 2508.20523 · arxiv_version: 2508.20523v1 · doi: 10.48550/arxiv.2508.20523 · pith_short_12: YUUHVLQ2OLWL · pith_short_16: YUUHVLQ2OLWLRHDN · pith_short_8: YUUHVLQ2

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/YUUHVLQ2OLWLRHDNHX4DYWDVNC \
  | 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: c5287aae1a72ecb89c6d3df83c587568ba236f5d092c944c87ff11ad436fdcc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75d5c3dee4ce5a04a8e73597b14d9fbe36eb4f84dd7d70270aa29c1a05c7fb31",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-28T08:05:29Z",
    "title_canon_sha256": "ec92cf79f5826a1f83eb62fad772ee89c842ec05f7a6fa30a8452cbc5dfc67f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20523",
    "kind": "arxiv",
    "version": 1
  }
}