Pith Number

pith:76XJWW4J

pith:2015:76XJWW4JHYK4EOUWREWRS2ASHT

not attested not anchored not stored refs pending

The Price of Anarchy in Large Games

Brendan Lucier, Michal Feldman, Nicole Immorlica, Tim Roughgarden, Vasilis Syrgkanis

arxiv:1503.04755 v2 · 2015-03-16 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76XJWW4JHYK4EOUWREWRS2ASHT}

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	2026-05-18T02:19:42.214962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffae9b5b893e15c23a96892d1968123ccdfecb3d71660eb304f3abd4a930c356

Aliases

arxiv: 1503.04755 · arxiv_version: 1503.04755v2 · doi: 10.48550/arxiv.1503.04755 · pith_short_12: 76XJWW4JHYK4 · pith_short_16: 76XJWW4JHYK4EOUW · pith_short_8: 76XJWW4J

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/76XJWW4JHYK4EOUWREWRS2ASHT \
  | 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: ffae9b5b893e15c23a96892d1968123ccdfecb3d71660eb304f3abd4a930c356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af4f4db5c298233c2d1cec4393fc38e16dedacc2af93e6c86eec31d9251e966",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-03-16T18:05:47Z",
    "title_canon_sha256": "4a0338513f96cb80918c61a2bc65f847a86b2da46d1dbaafc2d1177799802dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04755",
    "kind": "arxiv",
    "version": 2
  }
}