Pith Number

pith:EZ5LOMBI

pith:2025:EZ5LOMBIIYWEPHN24RJSLOQEYB

not attested not anchored not stored refs pending

Tie-breaking Agnostic Lower Bound for Fictitious Play

Yuanhao Wang

arxiv:2507.09902 v1 · 2025-07-14 · 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{EZ5LOMBIIYWEPHN24RJSLOQEYB}

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.

Cited by

2 papers in Pith

Do Not Discretize, Optimize: Almost Greedy Fictitious Play

Convergence of the Frank-Wolfe Algorithm for Monotone Variational Inequalities

Receipt and verification

First computed	2026-07-05T11:36:41.926291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

267ab73028462c479dbae45325ba04c05130486b617144f4087f71428ed56843

Aliases

arxiv: 2507.09902 · arxiv_version: 2507.09902v1 · doi: 10.48550/arxiv.2507.09902 · pith_short_12: EZ5LOMBIIYWE · pith_short_16: EZ5LOMBIIYWEPHN2 · pith_short_8: EZ5LOMBI

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/EZ5LOMBIIYWEPHN24RJSLOQEYB \
  | 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: 267ab73028462c479dbae45325ba04c05130486b617144f4087f71428ed56843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1f3b265fc1bb6cbf233790122d76d35f03b6f06f19f6ec4ce54a6e09e653ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-07-14T04:15:17Z",
    "title_canon_sha256": "881646462fe65e16417ba3cb3d76ba118df3cc2c2b6cbee5212012b428f8b087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09902",
    "kind": "arxiv",
    "version": 1
  }
}