Pith Number

pith:PYW5POMR

pith:2026:PYW5POMRWKFBA6URHRA3MPY4F3

not attested not anchored not stored refs pending

Quantum Markovian Dynamics from a Double Covariance Stochastic Framework

Andrei Khrennikov

arxiv:2605.29508 v1 · 2026-05-28 · quant-ph · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYW5POMRWKFBA6URHRA3MPY4F3}

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	2026-05-29T01:05:43.628573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2dd7b991b28a107a913c41b63f1c2ee478a52d1a477f181a7d6a60df72bcc5

Aliases

arxiv: 2605.29508 · arxiv_version: 2605.29508v1 · doi: 10.48550/arxiv.2605.29508 · pith_short_12: PYW5POMRWKFB · pith_short_16: PYW5POMRWKFBA6UR · pith_short_8: PYW5POMR

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/PYW5POMRWKFBA6URHRA3MPY4F3 \
  | 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: 7e2dd7b991b28a107a913c41b63f1c2ee478a52d1a477f181a7d6a60df72bcc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b83f93c9779bacdf31ac99bbf937dbaec190fcfb9f1da64085921e1af5836b",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-28T07:30:55Z",
    "title_canon_sha256": "fe48bf7beea71ddf3e3dd9fe511d641f093a2b2da5ded8165ce401d92f002525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29508",
    "kind": "arxiv",
    "version": 1
  }
}