Pith Number

pith:T2XFYMA3

pith:2026:T2XFYMA3J75GDYVIMS6ONN4LVV

not attested not anchored not stored refs pending

Exit-and-Join Dynamics and Equilibrium in Continuum Cooperative Games

Quanyan Zhu

arxiv:2606.28824 v1 · 2026-06-27 · cs.GT · cs.AI · cs.MA · cs.SY · eess.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{T2XFYMA3J75GDYVIMS6ONN4LVV}

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	2026-06-30T01:16:53.326590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eae5c301b4ffa61e2a864bce6b78bad6bc82f42fa605a7ee62f23a82cf1d829

Aliases

arxiv: 2606.28824 · arxiv_version: 2606.28824v1 · doi: 10.48550/arxiv.2606.28824 · pith_short_12: T2XFYMA3J75G · pith_short_16: T2XFYMA3J75GDYVI · pith_short_8: T2XFYMA3

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/T2XFYMA3J75GDYVIMS6ONN4LVV \
  | 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: 9eae5c301b4ffa61e2a864bce6b78bad6bc82f42fa605a7ee62f23a82cf1d829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc38734144f24c434c2ab0b0bbe852fae67f76f71f8ebd97e500dc7610b558e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.MA",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-27T09:17:07Z",
    "title_canon_sha256": "5163656fd5af61553fec7317e262cb5cb766e7c5b5a590ca860c7950bc3552e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28824",
    "kind": "arxiv",
    "version": 1
  }
}