Pith Number

pith:55YOK3G7

pith:2026:55YOK3G75Q3HAWOHAV52D5P2R3

not attested not anchored not stored refs pending

Quantum filtering and propagation of chaos for open quantum systems, with applications to quantum feedback control and quantum mean-field games

Vassili N. Kolokoltsov

arxiv:2607.08507 v1 · 2026-07-09 · 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{55YOK3G75Q3HAWOHAV52D5P2R3}

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	2026-07-10T01:19:52.410626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef70e56cdfec367059c7057ba1f5fa8eff0d3f63ebff830788c52fa98f0f030a

Aliases

arxiv: 2607.08507 · arxiv_version: 2607.08507v1 · doi: 10.48550/arxiv.2607.08507 · pith_short_12: 55YOK3G75Q3H · pith_short_16: 55YOK3G75Q3HAWOH · pith_short_8: 55YOK3G7

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/55YOK3G75Q3HAWOHAV52D5P2R3 \
  | 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: ef70e56cdfec367059c7057ba1f5fa8eff0d3f63ebff830788c52fa98f0f030a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a50ee70558b954ab6ae65945178feda48892b4f9e7d068cb77660daa7071c67",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-09T14:02:50Z",
    "title_canon_sha256": "dbe2aeed2e4e4efd90e46ee7fd85336ca303f47f78e9b9edcf8b2a8d4d105d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08507",
    "kind": "arxiv",
    "version": 1
  }
}