Pith Number

pith:SASJDP25

pith:2016:SASJDP25VB5SW3WCEVPWZLLPKL

not attested not anchored not stored refs pending

Communication complexity of approximate Nash equilibria

Aviad Rubinstein, Yakov Babichenko

arxiv:1608.06580 v2 · 2016-08-23 · cs.GT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SASJDP25VB5SW3WCEVPWZLLPKL}

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	2026-05-18T01:04:42.914010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

902491bf5da87b2b6ec2255f6cad6f52c9bf051e4ba5c682f436c6eaa6128b4f

Aliases

arxiv: 1608.06580 · arxiv_version: 1608.06580v2 · doi: 10.48550/arxiv.1608.06580 · pith_short_12: SASJDP25VB5S · pith_short_16: SASJDP25VB5SW3WC · pith_short_8: SASJDP25

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/SASJDP25VB5SW3WCEVPWZLLPKL \
  | 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: 902491bf5da87b2b6ec2255f6cad6f52c9bf051e4ba5c682f436c6eaa6128b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cde30c309e1146c5f4cc038a4a2e32adf1be2988c8034546f53d960f2ddd815",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-08-23T17:07:52Z",
    "title_canon_sha256": "8a1f23aa5750e22bfce6c803671624cb58241a2cc23cb39592c1278e496e95e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06580",
    "kind": "arxiv",
    "version": 2
  }
}