Pith Number

pith:3IPOBK6J

pith:2016:3IPOBK6JXQYLSZ76XFOYDY4ZMM

not attested not anchored not stored refs pending

Sampled Fictitious Play is Hannan Consistent

Ambuj Tewari, Zifan Li

arxiv:1610.01687 v2 · 2016-10-05 · cs.GT · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IPOBK6JXQYLSZ76XFOYDY4ZMM}

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	2026-05-18T00:46:39.555084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da1ee0abc9bc30b967feb95d81e3996319a4cdf7cb9a022e2c332562f34528db

Aliases

arxiv: 1610.01687 · arxiv_version: 1610.01687v2 · doi: 10.48550/arxiv.1610.01687 · pith_short_12: 3IPOBK6JXQYL · pith_short_16: 3IPOBK6JXQYLSZ76 · pith_short_8: 3IPOBK6J

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/3IPOBK6JXQYLSZ76XFOYDY4ZMM \
  | 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: da1ee0abc9bc30b967feb95d81e3996319a4cdf7cb9a022e2c332562f34528db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c779a0f335a01e45275ec709ec7b5e6bb0f8de3325d4eb5a760b43d414507a3",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-10-05T23:41:23Z",
    "title_canon_sha256": "afd40d5791057d197c4fb784d8ba0caa618818a521cf63216e9be37b6d87cab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01687",
    "kind": "arxiv",
    "version": 2
  }
}