Pith Number

pith:PBJHSYH6

pith:2015:PBJHSYH6SBWLJETVN75O4EDOFW

not attested not anchored not stored refs pending

Learning Efficient Correlated Equilibria

Holly P. Borowski, Jason R. Marden, Jeff S. Shamma

arxiv:1512.02160 v1 · 2015-12-07 · 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{PBJHSYH6SBWLJETVN75O4EDOFW}

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	2026-05-18T01:25:09.497848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78527960fe906cb492756ffaee106e2d8877ce0f1c6d84c49665db031e1e03b9

Aliases

arxiv: 1512.02160 · arxiv_version: 1512.02160v1 · doi: 10.48550/arxiv.1512.02160 · pith_short_12: PBJHSYH6SBWL · pith_short_16: PBJHSYH6SBWLJETV · pith_short_8: PBJHSYH6

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/PBJHSYH6SBWLJETVN75O4EDOFW \
  | 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: 78527960fe906cb492756ffaee106e2d8877ce0f1c6d84c49665db031e1e03b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26662c7bb520c7e84518e2d4efc9b0582e90b9f95b63fde39ba2802e9e051196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-12-07T18:42:13Z",
    "title_canon_sha256": "1adea55f61483160eb5e3e42acdf81a9c4454b55ee94f000a5ba6860470dd537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02160",
    "kind": "arxiv",
    "version": 1
  }
}