Pith Number

pith:KVJTD6PN

pith:2022:KVJTD6PNPG7CDME5KE7R3MP6NM

not attested not anchored not stored refs pending

Distributed coordination for seeking the optimal Nash equilibrium of aggregative games

Jie Chen, Jinlong Lei, Peng Yi, Xiaoyu Ma

arxiv:2205.06979 v1 · 2022-05-14 · math.OC · 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{KVJTD6PNPG7CDME5KE7R3MP6NM}

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	2026-07-05T04:23:10.644905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

555331f9ed79be21b09d513f1db1fe6b0fc2600f56e54dfc37a40527fb5c060a

Aliases

arxiv: 2205.06979 · arxiv_version: 2205.06979v1 · doi: 10.48550/arxiv.2205.06979 · pith_short_12: KVJTD6PNPG7C · pith_short_16: KVJTD6PNPG7CDME5 · pith_short_8: KVJTD6PN

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/KVJTD6PNPG7CDME5KE7R3MP6NM \
  | 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: 555331f9ed79be21b09d513f1db1fe6b0fc2600f56e54dfc37a40527fb5c060a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5672287452a490364a48670177a0ece48ca7f6de28a4395613a475fa4425f63",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-05-14T05:57:50Z",
    "title_canon_sha256": "2b3363cfffa36625c36501544db0c0150f7eb5bd4fb58ce2edcb035ac08efdac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.06979",
    "kind": "arxiv",
    "version": 1
  }
}