Pith Number

pith:MTCK352Z

pith:2012:MTCK352ZB4WITKWSIHCDJDXF3F

not attested not anchored not stored refs pending

Ensemble Control of Stochastic Linear Systems

Anatoly Zlotnik, Ji Qi, Jr-Shin Li

arxiv:1201.1857 v1 · 2012-01-09 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTCK352ZB4WITKWSIHCDJDXF3F}

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	2026-05-18T04:04:55.494876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c4adf7590f2c89aad241c4348ee5d9719984689438892e557d98826ab035e7

Aliases

arxiv: 1201.1857 · arxiv_version: 1201.1857v1 · doi: 10.48550/arxiv.1201.1857 · pith_short_12: MTCK352ZB4WI · pith_short_16: MTCK352ZB4WITKWS · pith_short_8: MTCK352Z

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/MTCK352ZB4WITKWSIHCDJDXF3F \
  | 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: 64c4adf7590f2c89aad241c4348ee5d9719984689438892e557d98826ab035e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd2ab099c7b10e3af8d21ab7c59780b641bc21c94cac29f924ff9359281a695",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-01-09T17:56:20Z",
    "title_canon_sha256": "e58db814c3843f700f866c6bdad8f40a45a371c27a335698b0c6c7ffc32e0497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1857",
    "kind": "arxiv",
    "version": 1
  }
}