Pith Number

pith:VFYVBSBV

pith:2012:VFYVBSBVNLUG5QDJP6ETJRVR4F

not attested not anchored not stored refs pending

Markovianity criteria for quantum evolution

Andrzej Kossakowski, Dariusz Chru\'sci\'nski

arxiv:1201.5987 v1 · 2012-01-28 · quant-ph · 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{VFYVBSBVNLUG5QDJP6ETJRVR4F}

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	2026-05-18T03:46:45.296449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97150c8356ae86ec0697f8934c6b1e1455108df953ffe0846cda91ea687690e

Aliases

arxiv: 1201.5987 · arxiv_version: 1201.5987v1 · doi: 10.48550/arxiv.1201.5987 · pith_short_12: VFYVBSBVNLUG · pith_short_16: VFYVBSBVNLUG5QDJ · pith_short_8: VFYVBSBV

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/VFYVBSBVNLUG5QDJP6ETJRVR4F \
  | 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: a97150c8356ae86ec0697f8934c6b1e1455108df953ffe0846cda91ea687690e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ded54d041fc89086cc5abb1686f3e7e9a3386ca3b93d1853926991fe78ac2c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-01-28T20:11:35Z",
    "title_canon_sha256": "dc4bf25f4722fee29079da7b1e610fbce55321073c12fb919468909b26c9aa36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5987",
    "kind": "arxiv",
    "version": 1
  }
}