Pith Number

pith:JF4LUD4Q

pith:2015:JF4LUD4QTDKBMOO6IIT5YI74Y6

not attested not anchored not stored refs pending

Greatest Fixed Points of Probabilistic Min/Max Polynomial Equations, and Reachability for Branching Markov Decision Processes

Alistair Stewart, Kousha Etessami, Mihalis Yannakakis

arxiv:1502.05533 v5 · 2015-02-19 · cs.CC · cs.GT · 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{JF4LUD4QTDKBMOO6IIT5YI74Y6}

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	2026-05-18T01:17:33.254511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4978ba0f9098d41639de4227dc23fcc785c632f8434277329329c0648d6035c4

Aliases

arxiv: 1502.05533 · arxiv_version: 1502.05533v5 · doi: 10.48550/arxiv.1502.05533 · pith_short_12: JF4LUD4QTDKB · pith_short_16: JF4LUD4QTDKBMOO6 · pith_short_8: JF4LUD4Q

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/JF4LUD4QTDKBMOO6IIT5YI74Y6 \
  | 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: 4978ba0f9098d41639de4227dc23fcc785c632f8434277329329c0648d6035c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63dc0ab78e294b11e81ab15921dd1a59522ecd61c0845105ee85b3e27e7134f",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-02-19T11:39:01Z",
    "title_canon_sha256": "035d020c460d8f6225b0fb95f71a6942adeee95780d163c886623c34590f343c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05533",
    "kind": "arxiv",
    "version": 5
  }
}