Pith Number

pith:PFJPMKRR

pith:2014:PFJPMKRRJUBLQHHNOIRASBSNCH

not attested not anchored not stored refs pending

The Quantum Liouville Equation is non-Liouvillian

Dimitris Kakofengitis, Ole Steuernagel

arxiv:1410.4367 v1 · 2014-10-16 · 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{PFJPMKRRJUBLQHHNOIRASBSNCH}

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	2026-05-18T02:39:56.322800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7952f62a314d02b81ced722209064d11dccc607c73713dc36f360d0c3d27bea5

Aliases

arxiv: 1410.4367 · arxiv_version: 1410.4367v1 · doi: 10.48550/arxiv.1410.4367 · pith_short_12: PFJPMKRRJUBL · pith_short_16: PFJPMKRRJUBLQHHN · pith_short_8: PFJPMKRR

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/PFJPMKRRJUBLQHHNOIRASBSNCH \
  | 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: 7952f62a314d02b81ced722209064d11dccc607c73713dc36f360d0c3d27bea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de5c12d28e7ee75c4d3080b3e8c5736355810917d8a5dd9000ecb340045d0a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-16T11:02:10Z",
    "title_canon_sha256": "38422c5e91e7a83a0cd20856edef87854da901a97256a956b84c111c4234f202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4367",
    "kind": "arxiv",
    "version": 1
  }
}