Pith Number

pith:BS5HJAHB

pith:2025:BS5HJAHB6KOB7Y2DIHOPEP7NBK

not attested not anchored not stored refs pending

A Hybrid Adaptive Nash Equilibrium Solver for Distributed Multi-Agent Systems with Game-Theoretic Jump Triggering

Qiuyu Miao, Zhigang Wu

arxiv:2506.11304 v1 · 2025-06-12 · eess.SY · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BS5HJAHB6KOB7Y2DIHOPEP7NBK}

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	2026-07-05T11:21:02.215268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cba7480e1f29c1fe34341dcf23fed0a86f03506d0c24caf33e96f11ee8e034b

Aliases

arxiv: 2506.11304 · arxiv_version: 2506.11304v1 · doi: 10.48550/arxiv.2506.11304 · pith_short_12: BS5HJAHB6KOB · pith_short_16: BS5HJAHB6KOB7Y2D · pith_short_8: BS5HJAHB

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/BS5HJAHB6KOB7Y2DIHOPEP7NBK \
  | 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: 0cba7480e1f29c1fe34341dcf23fed0a86f03506d0c24caf33e96f11ee8e034b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e3d1b57431711e5beaa3966bdfc407af5b75981f1ebafa70ec2f176d5c9f326",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-06-12T21:09:27Z",
    "title_canon_sha256": "a0b2366a19e55782a5a392787912cf07c0c2bd88ebdcf647f42c21c71bcd4da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11304",
    "kind": "arxiv",
    "version": 1
  }
}