Pith Number

pith:MVWCU2NR

pith:2026:MVWCU2NRE437RK25C5Q4XRILDR

not attested not anchored not stored refs pending

Participation Ratio as a Quantum Probe of Hierarchical Stickiness

2), 3), Ariel A. Galindo Duque (1), Chaos, Complex Systems Group, Departamento de F\'isica, Espa\~na. (3) Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Jorge G. Hirsch (1) ((1) Instituto de Ciencias Nucleares, M\'exico. (2) Nonlinear Dynamics, Miguel A. Prado Reynoso (1, Miguel Gonzalez (1, Republic of Korea.), Universidad Nacional Aut\'onoma de M\'exico, Universidad Rey Juan Carlos

arxiv:2602.18412 v2 · 2026-02-20 · quant-ph · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVWCU2NRE437RK25C5Q4XRILDR}

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	2026-06-04T01:09:47.578343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

656c2a69b12737f8ab5d1761cbc50b1c73a14b572c9189eaf16e5d500af88e6f

Aliases

arxiv: 2602.18412 · arxiv_version: 2602.18412v2 · doi: 10.48550/arxiv.2602.18412 · pith_short_12: MVWCU2NRE437 · pith_short_16: MVWCU2NRE437RK25 · pith_short_8: MVWCU2NR

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/MVWCU2NRE437RK25C5Q4XRILDR \
  | 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: 656c2a69b12737f8ab5d1761cbc50b1c73a14b572c9189eaf16e5d500af88e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756aedb5a7e91d289b2be0483eca123725aa7e0531b5de6bd24bfb3753cafaef",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-02-20T18:23:41Z",
    "title_canon_sha256": "d4958a9b645b07df131a4fd3b88c8364234119a09a79b5bb2b3e714e20e31f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.18412",
    "kind": "arxiv",
    "version": 2
  }
}