Pith Number

pith:EWH3RHWH

pith:2026:EWH3RHWHDTZAOASIICMTHKL3BJ

not attested not anchored not stored refs pending

Learning under Opponent Unawareness in Linear-Quadratic Stochastic Games

Dantong Chu, Xuefeng Gao, Yufei Zhang

arxiv:2608.08268 v1 · 2026-08-08 · math.OC · cs.GT · cs.LG · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWH3RHWHDTZAOASIICMTHKL3BJ}

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	2026-08-11T01:22:10.319772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258fb89ec71cf2070248409933a97b0a4aa617ead1041e021a8f755c9833fe60

Aliases

arxiv: 2608.08268 · arxiv_version: 2608.08268v1 · doi: 10.48550/arxiv.2608.08268 · pith_short_12: EWH3RHWHDTZA · pith_short_16: EWH3RHWHDTZAOASI · pith_short_8: EWH3RHWH

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/EWH3RHWHDTZAOASIICMTHKL3BJ \
  | 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: 258fb89ec71cf2070248409933a97b0a4aa617ead1041e021a8f755c9833fe60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6986f3374a4013ee3d8d575e87db0c38a4606eb1ce87ee23e13fbfa0d10a8cee",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG",
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-08T17:59:00Z",
    "title_canon_sha256": "0689550b67b0b6d636784969dcb4da45795af92d442cfab592e60e0b4d129cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08268",
    "kind": "arxiv",
    "version": 1
  }
}