Pith Number

pith:IKFJBFV2

pith:2011:IKFJBFV2EIZHSHGAKPVR7BITHV

not attested not anchored not stored refs pending

Discounted Continuous-time Markov Decision Processes with Unbounded Rates: the Dynamic Programming Approach

Alexey Piunovskiy, Yi Zhang

arxiv:1103.0134 v1 · 2011-03-01 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKFJBFV2EIZHSHGAKPVR7BITHV}

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	2026-05-18T04:27:37.283608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

428a9096ba2232791cc053eb1f85133d6b1d191f040b4ecc3674d7a2718a4380

Aliases

arxiv: 1103.0134 · arxiv_version: 1103.0134v1 · doi: 10.48550/arxiv.1103.0134 · pith_short_12: IKFJBFV2EIZH · pith_short_16: IKFJBFV2EIZHSHGA · pith_short_8: IKFJBFV2

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/IKFJBFV2EIZHSHGAKPVR7BITHV \
  | 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: 428a9096ba2232791cc053eb1f85133d6b1d191f040b4ecc3674d7a2718a4380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7847415012de8517e59895352fa6c77f1ebed4336726829228fbca1243cbb7cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-03-01T11:04:48Z",
    "title_canon_sha256": "68247c08124e00ffc9ce4fd5e56540f20b28da2b91c1eae020906abf280ee649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0134",
    "kind": "arxiv",
    "version": 1
  }
}