Pith Number

pith:ZCDYDLQZ

pith:2016:ZCDYDLQZTHW4ANZ4647W3KUQZC

not attested not anchored not stored refs pending

On convergence rates of game theoretic reinforcement learning algorithms

Minghui Zhu, Peng Liu, Ping Chen, Zhisheng Hu

arxiv:1612.04724 v2 · 2016-12-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCDYDLQZTHW4ANZ4647W3KUQZC}

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	2026-05-18T00:29:05.832793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c88781ae1999edc0373cf73f6daa90c8a9ef691770452f0166649ed5767988d2

Aliases

arxiv: 1612.04724 · arxiv_version: 1612.04724v2 · doi: 10.48550/arxiv.1612.04724 · pith_short_12: ZCDYDLQZTHW4 · pith_short_16: ZCDYDLQZTHW4ANZ4 · pith_short_8: ZCDYDLQZ

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/ZCDYDLQZTHW4ANZ4647W3KUQZC \
  | 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: c88781ae1999edc0373cf73f6daa90c8a9ef691770452f0166649ed5767988d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f8ebd124c1205e91fdd15d2891fa2b00930a1f2fd61125dbec76deaece3f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-14T16:54:09Z",
    "title_canon_sha256": "266599db6a502976118ae32a7d5e984af61d6e92606bae02737f37df2b67cc19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04724",
    "kind": "arxiv",
    "version": 2
  }
}