Pith Number

pith:CGIROCPN

pith:2011:CGIROCPNGFQR6Z25VFORPHEZPH

not attested not anchored not stored refs pending

Payoff-based Inhomogeneous Partially Irrational Play for Potential Game Theoretic Cooperative Control of Multi-agent Systems

Masayuki Fujita, Takeshi Hatanaka, Tatsuhiko Goto

arxiv:1107.4838 v1 · 2011-07-25 · 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{CGIROCPNGFQR6Z25VFORPHEZPH}

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	2026-05-18T04:16:54.519709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11911709ed31611f675da95d179c9979ccb0aa53dd6928b0539b8de042c5daf5

Aliases

arxiv: 1107.4838 · arxiv_version: 1107.4838v1 · doi: 10.48550/arxiv.1107.4838 · pith_short_12: CGIROCPNGFQR · pith_short_16: CGIROCPNGFQR6Z25 · pith_short_8: CGIROCPN

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/CGIROCPNGFQR6Z25VFORPHEZPH \
  | 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: 11911709ed31611f675da95d179c9979ccb0aa53dd6928b0539b8de042c5daf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43546947578dd6848672192966ddbf7f778e1fdc12ae311d130acaef7cf26771",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-07-25T04:32:19Z",
    "title_canon_sha256": "3af9ef485625e30dc4a039bf0155b3af52def3ea3d12a8b5df5bc9e7404937ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4838",
    "kind": "arxiv",
    "version": 1
  }
}