Pith Number

pith:HQ5WHYMJ

pith:2019:HQ5WHYMJY4S3ZCIRCAULX2C2AI

not attested not anchored not stored refs pending

Spectral and Steady-State Properties of Random Liouvillians

Lucas S\'a, Pedro Ribeiro, Toma\v{z} Prosen

arxiv:1905.02155 v3 · 2019-05-06 · quant-ph · cond-mat.mes-hall · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQ5WHYMJY4S3ZCIRCAULX2C2AI}

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	2026-07-05T01:25:10.928506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3b63e189c725bc89111028bbe85a020cee269a7d6a2c432ee640b00c412044

Aliases

arxiv: 1905.02155 · arxiv_version: 1905.02155v3 · doi: 10.48550/arxiv.1905.02155 · pith_short_12: HQ5WHYMJY4S3 · pith_short_16: HQ5WHYMJY4S3ZCIR · pith_short_8: HQ5WHYMJ

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/HQ5WHYMJY4S3ZCIRCAULX2C2AI \
  | 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: 3c3b63e189c725bc89111028bbe85a020cee269a7d6a2c432ee640b00c412044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128417244f2f8a8b64ca4f5a7bab37d03355afb8987f62bf4397fc199fe48cfb",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-05-06T17:15:41Z",
    "title_canon_sha256": "43694e67a9880337470d70d1c3134b267c2ab834ea57726d30b47bcf924ff15a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02155",
    "kind": "arxiv",
    "version": 3
  }
}