Pith Number

pith:KMV4RFVO

pith:2019:KMV4RFVOIFMD7QKD5JMOMUAJPW

not attested not anchored not stored refs pending

A quantum Karhunen-Loeve expansion and quadratic-exponential functionals for linear quantum stochastic systems

Ian R. Petersen, Igor G. Vladimirov, Matthew R. James

arxiv:1904.03265 v1 · 2019-04-05 · math.PR · cs.SY · math-ph · math.MP · math.OC · 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{KMV4RFVOIFMD7QKD5JMOMUAJPW}

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	2026-05-17T23:49:14.037799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

532bc896ae41583fc143ea58e650097dbd6e3e197ec1e7978f21ebcd68f229f3

Aliases

arxiv: 1904.03265 · arxiv_version: 1904.03265v1 · doi: 10.48550/arxiv.1904.03265 · pith_short_12: KMV4RFVOIFMD · pith_short_16: KMV4RFVOIFMD7QKD · pith_short_8: KMV4RFVO

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/KMV4RFVOIFMD7QKD5JMOMUAJPW \
  | 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: 532bc896ae41583fc143ea58e650097dbd6e3e197ec1e7978f21ebcd68f229f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6873f57998dc58d38d933e3a4228996102f2d5c7e170ce3562d28827ef930d30",
    "cross_cats_sorted": [
      "cs.SY",
      "math-ph",
      "math.MP",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-05T20:24:17Z",
    "title_canon_sha256": "e2384dc5a6b7af4077e71cd92c2d40b629f21f508a005a4ab1b3cfa1921dafe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03265",
    "kind": "arxiv",
    "version": 1
  }
}