Pith Number

pith:D4JQTY34

pith:2017:D4JQTY34TNLPPIIMTQBKGSSUIL

not attested not anchored not stored refs pending

On the expected total reward with unbounded returns for Markov decision processes

Alexandre Genadot, Fran\c{c}ois Dufour

arxiv:1712.07874 v2 · 2017-12-21 · 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{D4JQTY34TNLPPIIMTQBKGSSUIL}

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	2026-05-18T00:04:02.859869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1309e37c9b56f7a10c9c02a34a5442d7cf9c89e1699d65f14ddf2e6499e19e

Aliases

arxiv: 1712.07874 · arxiv_version: 1712.07874v2 · doi: 10.48550/arxiv.1712.07874 · pith_short_12: D4JQTY34TNLP · pith_short_16: D4JQTY34TNLPPIIM · pith_short_8: D4JQTY34

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/D4JQTY34TNLPPIIMTQBKGSSUIL \
  | 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: 1f1309e37c9b56f7a10c9c02a34a5442d7cf9c89e1699d65f14ddf2e6499e19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbbe83011fb873c2e86e92b72d361d43239e75f49ca525b91409d26671c84194",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-21T10:59:35Z",
    "title_canon_sha256": "a8bc5cc18a253b128ff125c3c143a6a65436e9b49fdd24f174da479ac446d9d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07874",
    "kind": "arxiv",
    "version": 2
  }
}