Pith Number

pith:2WCHDSGW

pith:2010:2WCHDSGWWB55UPOK2NHYNFPHP4

not attested not anchored not stored refs pending

Nash Equilibria in Perturbation Resilient Games

Maria-Florina Balcan, Mark Braverman

arxiv:1008.1827 v5 · 2010-08-11 · cs.GT · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WCHDSGWWB55UPOK2NHYNFPHP4}

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	2026-05-18T04:00:16.139220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d58471c8d6b07bda3dcad34f8695e77f068cd385a377002fa0a291b5bc1c3379

Aliases

arxiv: 1008.1827 · arxiv_version: 1008.1827v5 · doi: 10.48550/arxiv.1008.1827 · pith_short_12: 2WCHDSGWWB55 · pith_short_16: 2WCHDSGWWB55UPOK · pith_short_8: 2WCHDSGW

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/2WCHDSGWWB55UPOK2NHYNFPHP4 \
  | 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: d58471c8d6b07bda3dcad34f8695e77f068cd385a377002fa0a291b5bc1c3379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1606d6cf59c94b4a20e41cbb3c63d520213260518027fe1ea49d9bb6edf177d6",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-08-11T03:13:30Z",
    "title_canon_sha256": "cad19250f4c63e8d6d868c2c9ba7a15c3e8a8af5dd5634a9ede850402439e924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1827",
    "kind": "arxiv",
    "version": 5
  }
}