Pith Number

pith:62343AB3

pith:2012:62343AB3AGODUH2TWOED66R4DC

not attested not anchored not stored refs pending

A distance for probability spaces, and long-term values in Markov Decision Processes and Repeated Games

J\'er\^ome Renault (GREMAQ), Xavier Venel (GREMAQ)

arxiv:1202.6259 v1 · 2012-02-28 · 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{62343AB3AGODUH2TWOED66R4DC}

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	2026-05-18T04:01:13.860004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b7cd803b019c3a1f53b3883f7a3c188878f0def97ef31c7d816d35e2bfffcd

Aliases

arxiv: 1202.6259 · arxiv_version: 1202.6259v1 · doi: 10.48550/arxiv.1202.6259 · pith_short_12: 62343AB3AGOD · pith_short_16: 62343AB3AGODUH2T · pith_short_8: 62343AB3

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/62343AB3AGODUH2TWOED66R4DC \
  | 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: f6b7cd803b019c3a1f53b3883f7a3c188878f0def97ef31c7d816d35e2bfffcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457909aab9aa7cdec541f2045d42b3d64366e0c16ac55d12d60e091115353daf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-02-28T15:43:23Z",
    "title_canon_sha256": "0d82dd82979f9b5a757f130b08d1213793e7c645941cbe5193e1786ed15fea04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6259",
    "kind": "arxiv",
    "version": 1
  }
}