Pith Number

pith:P4E3SYGE

pith:2017:P4E3SYGEB4ZDAT5WAEESMMFMKV

not attested not anchored not stored refs pending

Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps

\'Angel Rivas, Dariusz Chru\'sci\'nski, Erling St{\o}rmer

arxiv:1710.06771 v3 · 2017-10-18 · 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{P4E3SYGEB4ZDAT5WAEESMMFMKV}

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	2026-05-18T00:07:11.746019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f09b960c40f32304fb601092630ac5561fc559189653165c4d0d6d9e4064e54

Aliases

arxiv: 1710.06771 · arxiv_version: 1710.06771v3 · doi: 10.48550/arxiv.1710.06771 · pith_short_12: P4E3SYGEB4ZD · pith_short_16: P4E3SYGEB4ZDAT5W · pith_short_8: P4E3SYGE

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/P4E3SYGEB4ZDAT5WAEESMMFMKV \
  | 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: 7f09b960c40f32304fb601092630ac5561fc559189653165c4d0d6d9e4064e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d8a1eec116253064ebc24417d03587018d9bf7401912695b9c3881da57b3b7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-10-18T15:12:35Z",
    "title_canon_sha256": "d565eba1431d0cd71418746f9f2d3c8eac0bd0164e81eb80f4b658c230c45b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06771",
    "kind": "arxiv",
    "version": 3
  }
}