Pith Number

pith:PSRG4GAT

pith:2011:PSRG4GATV75JT6EVLBRYD775VA

not attested not anchored not stored refs pending

Prices of Anarchy, Information, and Cooperation in Differential Games

Quanyan Zhu, Tamer Basar

arxiv:1103.2579 v1 · 2011-03-14 · cs.SY · 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{PSRG4GATV75JT6EVLBRYD775VA}

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	2026-05-18T02:22:19.521389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca26e1813affa99f895586381fffda805193417f8cc7a021ed3b99154d42257

Aliases

arxiv: 1103.2579 · arxiv_version: 1103.2579v1 · doi: 10.48550/arxiv.1103.2579 · pith_short_12: PSRG4GATV75J · pith_short_16: PSRG4GATV75JT6EV · pith_short_8: PSRG4GAT

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/PSRG4GATV75JT6EVLBRYD775VA \
  | 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: 7ca26e1813affa99f895586381fffda805193417f8cc7a021ed3b99154d42257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea710ca78bdb13b1148e61db53d34b8b1b7f998de7907803498bdec0ad1e7ed",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-03-14T03:27:44Z",
    "title_canon_sha256": "94a5e3f0b45e21aa9a6325f9429566acf1e52c63c647970e2a467f0bde13da44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2579",
    "kind": "arxiv",
    "version": 1
  }
}