Pith Number

pith:4VLP3V2D

pith:2012:4VLP3V2DELBZNN4HG4LAOYNZWI

not attested not anchored not stored refs pending

PT-symmetric quantum Liouvillian dynamics

Tomaz Prosen

arxiv:1207.4395 v2 · 2012-07-18 · quant-ph · 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{4VLP3V2DELBZNN4HG4LAOYNZWI}

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	2026-05-18T03:46:47.026442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e556fdd74322c396b78737160761b9b217dea959da1e58fc50d3e56b3291e3c5

Aliases

arxiv: 1207.4395 · arxiv_version: 1207.4395v2 · doi: 10.48550/arxiv.1207.4395 · pith_short_12: 4VLP3V2DELBZ · pith_short_16: 4VLP3V2DELBZNN4H · pith_short_8: 4VLP3V2D

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/4VLP3V2DELBZNN4HG4LAOYNZWI \
  | 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: e556fdd74322c396b78737160761b9b217dea959da1e58fc50d3e56b3291e3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc858df49ff58bfc7ecd9c3237309e51244dfdce888cfc327810079e80a6ff47",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-07-18T15:15:37Z",
    "title_canon_sha256": "ba2759599f389129a4e29ed580cb9d92da0e06be696ba41ede54a7399cf21934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4395",
    "kind": "arxiv",
    "version": 2
  }
}