Pith Number

pith:SCWLTUEX

pith:2010:SCWLTUEXT6LFXNKAEZZXQNM4P3

not attested not anchored not stored refs pending

Efficient Approximation of Optimal Control for Markov Games

John Fearnley, Lijun Zhang, Markus Rabe, Sven Schewe

arxiv:1011.0397 v2 · 2010-11-01 · cs.GT · cs.SY · 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{SCWLTUEXT6LFXNKAEZZXQNM4P3}

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	2026-05-18T04:18:43.719736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90acb9d0979f965bb540267378359c7ed562eb9cdef20702f0c7f3b0f000b010

Aliases

arxiv: 1011.0397 · arxiv_version: 1011.0397v2 · doi: 10.48550/arxiv.1011.0397 · pith_short_12: SCWLTUEXT6LF · pith_short_16: SCWLTUEXT6LFXNKA · pith_short_8: SCWLTUEX

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/SCWLTUEXT6LFXNKAEZZXQNM4P3 \
  | 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: 90acb9d0979f965bb540267378359c7ed562eb9cdef20702f0c7f3b0f000b010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "050999dcd8c6c895ba26b636802d600f6ea5f8e5140e944a0d08877451a2da08",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-11-01T18:00:00Z",
    "title_canon_sha256": "9cfbfb5b187136f302ca5a98233afd0b4ac840a4635780abd570b53ac5b59b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0397",
    "kind": "arxiv",
    "version": 2
  }
}