Pith Number

pith:YAITI4NK

pith:2012:YAITI4NKBRY34IJS7FUGOP64K2

not attested not anchored not stored refs pending

Rank-1 Games With Exponentially Many Nash Equilibria

Bernhard von Stengel

arxiv:1211.2405 v1 · 2012-11-11 · 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{YAITI4NKBRY34IJS7FUGOP64K2}

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	2026-05-18T03:41:03.429866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0113471aa0c71be2132f968673fdc56915e4708978235da6b434d7b3332f729

Aliases

arxiv: 1211.2405 · arxiv_version: 1211.2405v1 · doi: 10.48550/arxiv.1211.2405 · pith_short_12: YAITI4NKBRY3 · pith_short_16: YAITI4NKBRY34IJS · pith_short_8: YAITI4NK

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/YAITI4NKBRY34IJS7FUGOP64K2 \
  | 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: c0113471aa0c71be2132f968673fdc56915e4708978235da6b434d7b3332f729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a74d6fe3725a082d1423980834b654c27dcb3a2f668705338e1b8ea35f335a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-11-11T11:55:27Z",
    "title_canon_sha256": "ebf58db8b601f73b74ab6d40354fe10ae21d35080d27b9bc2bc06f66a130b8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2405",
    "kind": "arxiv",
    "version": 1
  }
}