Pith Number

pith:ZZRHQYHX

pith:2015:ZZRHQYHXISST3VABS7BKYWFWVO

not attested not anchored not stored refs pending

Multidimensional beyond worst-case and almost-sure problems for mean-payoff objectives

Jean-Fran\c{c}ois Raskin, Lorenzo Clemente

arxiv:1504.08211 v2 · 2015-04-30 · cs.GT · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZRHQYHXISST3VABS7BKYWFWVO}

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	2026-05-18T00:30:09.551647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce627860f744a53dd40197c2ac58b6ab9a45cf74a496f4a6651b5ef5624c59f3

Aliases

arxiv: 1504.08211 · arxiv_version: 1504.08211v2 · doi: 10.48550/arxiv.1504.08211 · pith_short_12: ZZRHQYHXISST · pith_short_16: ZZRHQYHXISST3VAB · pith_short_8: ZZRHQYHX

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/ZZRHQYHXISST3VABS7BKYWFWVO \
  | 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: ce627860f744a53dd40197c2ac58b6ab9a45cf74a496f4a6651b5ef5624c59f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157e2e5393673cc469ef74b6eb3193f828f6978f0dc8b82a6a46d0578bdb810f",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-04-30T13:16:48Z",
    "title_canon_sha256": "e918dfae9be50bd4b74428ae5d4dedd319306b7bdc77c75a8f4c76119352e333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08211",
    "kind": "arxiv",
    "version": 2
  }
}