Pith Number

pith:XTTHJE3S

pith:2012:XTTHJE3SRWSJZBUDGBA6ACY7DV

not attested not anchored not stored refs pending

Minimum Relative Entropy State Transitions in Linear Stochastic Systems: the Continuous Time Case

Ian R. Petersen, Igor G. Vladimirov

arxiv:1208.3981 v1 · 2012-08-20 · math.OC · cs.IT · cs.SY · math.DS · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTTHJE3SRWSJZBUDGBA6ACY7DV}

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	2026-05-18T03:48:25.581189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce67493728da49c86833041e00b1f1d5ec1adce40bc750373b6ecc4345ba601

Aliases

arxiv: 1208.3981 · arxiv_version: 1208.3981v1 · doi: 10.48550/arxiv.1208.3981 · pith_short_12: XTTHJE3SRWSJ · pith_short_16: XTTHJE3SRWSJZBUD · pith_short_8: XTTHJE3S

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/XTTHJE3SRWSJZBUDGBA6ACY7DV \
  | 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: bce67493728da49c86833041e00b1f1d5ec1adce40bc750373b6ecc4345ba601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b6d9adbe3fa1d58a78156902b3bcc43ac49e0955d91289e471372f43a085a92",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.SY",
      "math.DS",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-20T11:34:45Z",
    "title_canon_sha256": "26e94c4cc84dc97b27989d186aa712bf15d5e01eedd4cfe1148fc25025ce4e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3981",
    "kind": "arxiv",
    "version": 1
  }
}