Pith Number

pith:7I6UNVVY

pith:2012:7I6UNVVY42GZCQPGZQ2PLXYCW6

not attested not anchored not stored refs pending

Bounding the Uncertainty of Graphical Games: The Complexity of Simple Requirements, Pareto and Strong Nash Equilibria

Francesco Scarcello, Gianluigi Greco

arxiv:1207.1383 v1 · 2012-07-04 · 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{7I6UNVVY42GZCQPGZQ2PLXYCW6}

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	2026-05-18T03:51:37.480694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa3d46d6b8e68d9141e6cc34f5df02b78db40e1dfa48aa334f0021d4ba4e429b

Aliases

arxiv: 1207.1383 · arxiv_version: 1207.1383v1 · doi: 10.48550/arxiv.1207.1383 · pith_short_12: 7I6UNVVY42GZ · pith_short_16: 7I6UNVVY42GZCQPG · pith_short_8: 7I6UNVVY

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/7I6UNVVY42GZCQPGZQ2PLXYCW6 \
  | 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: fa3d46d6b8e68d9141e6cc34f5df02b78db40e1dfa48aa334f0021d4ba4e429b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb867a214044ad8b94c2c504e1003a7a3f9a883c48a21b166435e96815f661b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-07-04T16:12:21Z",
    "title_canon_sha256": "e45b4ae95580c8270ce7550aa73b000941736fe97e0d24549a1c66ab2e23837b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1383",
    "kind": "arxiv",
    "version": 1
  }
}