Pith Number

pith:2YM2BPE2

pith:2013:2YM2BPE2TL7SAXN25LMZWMYPRV

not attested not anchored not stored refs pending

On the complexity of strong Nash equilibrium: Hard-to-solve instances and smoothed complexity

Marco Rocco, Nicola Gatti, Tuomas Sandholm

arxiv:1304.1351 v1 · 2013-04-04 · 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{2YM2BPE2TL7SAXN25LMZWMYPRV}

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	2026-05-18T03:29:03.645184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d619a0bc9a9aff205dbaead99b330f8d5ebae4e8f6aa471c668a18787f3bfdb7

Aliases

arxiv: 1304.1351 · arxiv_version: 1304.1351v1 · doi: 10.48550/arxiv.1304.1351 · pith_short_12: 2YM2BPE2TL7S · pith_short_16: 2YM2BPE2TL7SAXN2 · pith_short_8: 2YM2BPE2

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/2YM2BPE2TL7SAXN25LMZWMYPRV \
  | 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: d619a0bc9a9aff205dbaead99b330f8d5ebae4e8f6aa471c668a18787f3bfdb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c7c6a0cca20beb80ba74208a6b08828512d9bdd5ed4b8c2c50a73f632e7725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-04-04T12:45:09Z",
    "title_canon_sha256": "b4f611b90b374b104446257df2397c95610d22004840703c8de8c64ec5f4dd75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1351",
    "kind": "arxiv",
    "version": 1
  }
}