Pith Number

pith:MSVR7MZ2

pith:2026:MSVR7MZ2G5NCOYE7I7VHVKZXSJ

not attested not anchored not stored refs pending

The Game Changer Problem: Controlling Equilibria with Discrete Rewards

Brandon Han, Shiyun Cheng, Xiaojin Zhu, Young Wu

arxiv:2606.29012 v1 · 2026-06-27 · 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{MSVR7MZ2G5NCOYE7I7VHVKZXSJ}

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	2026-06-30T01:17:49.429680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ab1fb33a375a27609f47ea7aab37927e35ad5c2398146600cefda1d24c6ede

Aliases

arxiv: 2606.29012 · arxiv_version: 2606.29012v1 · doi: 10.48550/arxiv.2606.29012 · pith_short_12: MSVR7MZ2G5NC · pith_short_16: MSVR7MZ2G5NCOYE7 · pith_short_8: MSVR7MZ2

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/MSVR7MZ2G5NCOYE7I7VHVKZXSJ \
  | 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: 64ab1fb33a375a27609f47ea7aab37927e35ad5c2398146600cefda1d24c6ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80cba358a112db0e836a00329c32afdc87ad6c9a9ad19a0700923af5ba061858",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-27T17:17:54Z",
    "title_canon_sha256": "bf714b4beb782ea3fede8031b2fadadca32c0b84feb9aa446c25a33b67c64b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29012",
    "kind": "arxiv",
    "version": 1
  }
}