Pith Number

pith:3ECV6543

pith:2014:3ECV6543HAVUL7W2JPYUGFSHPV

not attested not anchored not stored refs pending

Quantum learning of classical stochastic processes: The Completely-Positive Realization Problem

Alex Monr\`as, Andreas Winter

arxiv:1412.3634 v1 · 2014-12-11 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ECV6543HAVUL7W2JPYUGFSHPV}

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	2026-05-18T01:23:16.717303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9055f779b382b45feda4bf14316477d506e8aefb1260a099641ca3a93cc7b59

Aliases

arxiv: 1412.3634 · arxiv_version: 1412.3634v1 · doi: 10.48550/arxiv.1412.3634 · pith_short_12: 3ECV6543HAVU · pith_short_16: 3ECV6543HAVUL7W2 · pith_short_8: 3ECV6543

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/3ECV6543HAVUL7W2JPYUGFSHPV \
  | 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: d9055f779b382b45feda4bf14316477d506e8aefb1260a099641ca3a93cc7b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a71865a1346fc45add5d8bcaebf6f24903b900adf6f67c736bd4ec834d20ca",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-11T12:49:34Z",
    "title_canon_sha256": "9118a3db7bd95d9f449f846d8b2c57b1d0c0dbe2cf4e24fc2391fb853ee84d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3634",
    "kind": "arxiv",
    "version": 1
  }
}