Pith Number

pith:PYQRURIV

pith:2025:PYQRURIVNUY23BIDEN3EQOTMWH

not attested not anchored not stored refs pending

Ergodicity and hydrodynamics: from quantum to classical spin systems

Dario Poletti, Jiaozi Wang, Leonardo Mazza, Luca Capizzi

arxiv:2509.04098 v1 · 2025-09-04 · cond-mat.stat-mech · cond-mat.quant-gas · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYQRURIVNUY23BIDEN3EQOTMWH}

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	2026-07-05T12:04:53.459307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e211a45156d31ad85032376483a6cb1eff675dd567c5721ff673c07467f4da1

Aliases

arxiv: 2509.04098 · arxiv_version: 2509.04098v1 · doi: 10.48550/arxiv.2509.04098 · pith_short_12: PYQRURIVNUY2 · pith_short_16: PYQRURIVNUY23BID · pith_short_8: PYQRURIV

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/PYQRURIVNUY23BIDEN3EQOTMWH \
  | 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: 7e211a45156d31ad85032376483a6cb1eff675dd567c5721ff673c07467f4da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "764599b10d27d140d83143816cc6044ef623f37948f6454daa98778dcf5ea3f0",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-09-04T10:59:57Z",
    "title_canon_sha256": "b8b07b9ca2c695b7c7cbb65c62af3fa04a886de6881615ba133517c69b6e8fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04098",
    "kind": "arxiv",
    "version": 1
  }
}