Pith Number

pith:PD4RE53B

pith:2025:PD4RE53BMUCRZGGSPKFXXRLXOZ

not attested not anchored not stored refs pending

Discovering Expert-Level Nash Equilibrium Algorithms with Large Language Models

Dongchen Li, Hanyu Li, Xiaotie Deng

arxiv:2508.11874 v2 · 2025-08-16 · cs.GT · cs.AI · cs.DS · cs.LO · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PD4RE53BMUCRZGGSPKFXXRLXOZ}

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

1 paper in Pith

An Information-Theoretic Criterion for Efficient Data Synthesis

Receipt and verification

First computed	2026-06-09T02:07:06.581284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f912776165051c98d27a8b7bc577766a8409a02b16f8a45b67c3d8d9159cd0

Aliases

arxiv: 2508.11874 · arxiv_version: 2508.11874v2 · doi: 10.48550/arxiv.2508.11874 · pith_short_12: PD4RE53BMUCR · pith_short_16: PD4RE53BMUCRZGGS · pith_short_8: PD4RE53B

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/PD4RE53BMUCRZGGSPKFXXRLXOZ \
  | 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: 78f912776165051c98d27a8b7bc577766a8409a02b16f8a45b67c3d8d9159cd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd56e3a6ded53379ff6b999dc1b88f0b5f13b80e9c702b96e249faa28e90a98f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DS",
      "cs.LO",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-08-16T02:18:43Z",
    "title_canon_sha256": "91dbcbef9223ead65a4e47fed1615ab38a78b626fc202d1ae32e451de8f840ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.11874",
    "kind": "arxiv",
    "version": 2
  }
}