Pith Number

pith:32S3BHFQ

pith:2023:32S3BHFQULMQCFQLRJHD3NV72I

not attested not anchored not stored refs pending

On the Last-iterate Convergence in Time-varying Zero-sum Games: Extra Gradient Succeeds where Optimism Fails

Bo Peng, Hu Fu, Ioannis Panageas, Ping Li, Qun Hu, Xiao Wang, Yi Feng

arxiv:2310.02604 v1 · 2023-10-04 · 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{32S3BHFQULMQCFQLRJHD3NV72I}

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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	2026-07-05T06:57:11.922876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea5b09cb0a2d901160b8a4e3db6bfd201e4aed1e54fa8c91c4551a5d2125dd1

Aliases

arxiv: 2310.02604 · arxiv_version: 2310.02604v1 · doi: 10.48550/arxiv.2310.02604 · pith_short_12: 32S3BHFQULMQ · pith_short_16: 32S3BHFQULMQCFQL · pith_short_8: 32S3BHFQ

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/32S3BHFQULMQCFQLRJHD3NV72I \
  | 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: dea5b09cb0a2d901160b8a4e3db6bfd201e4aed1e54fa8c91c4551a5d2125dd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e1db4e20005849ce773f26015bb7e3ae3461e2404740efffd26140fc160be43",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-10-04T06:34:36Z",
    "title_canon_sha256": "684215510b86482360e9ae09ba558a19016f61f508d2201581ba960718b2c364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.02604",
    "kind": "arxiv",
    "version": 1
  }
}