Pith Number

pith:XC3ZGKZY

pith:2022:XC3ZGKZYD7YSLEG76N3EHVSWEN

not attested not anchored not stored refs pending

Optimization frameworks and sensitivity analysis of Stackelberg mean-field games

Anran Hu, Jiacheng Zhang, Xin Guo

arxiv:2210.04110 v1 · 2022-10-08 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XC3ZGKZYD7YSLEG76N3EHVSWEN}

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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.

Cited by

1 paper in Pith

Approximation of Discrete-Time Infinite-Horizon Mean-Field Equilibria via Finite-Horizon Mean-Field Equilibria

Receipt and verification

First computed	2026-07-05T05:04:35.892491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b7932b381ff12590dff37643d6562375f47dcce3d3b7975d557ecd82536e01

Aliases

arxiv: 2210.04110 · arxiv_version: 2210.04110v1 · doi: 10.48550/arxiv.2210.04110 · pith_short_12: XC3ZGKZYD7YS · pith_short_16: XC3ZGKZYD7YSLEG7 · pith_short_8: XC3ZGKZY

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/XC3ZGKZYD7YSLEG76N3EHVSWEN \
  | 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: b8b7932b381ff12590dff37643d6562375f47dcce3d3b7975d557ecd82536e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "966453b83bf930c567f7fa5668f547f4d7685175a8bea6760b964b188e2e84e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-08T21:48:25Z",
    "title_canon_sha256": "6e5822a9ad6ad35df18289589aa4a04a212d7db6a32976898a8152465c2026cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.04110",
    "kind": "arxiv",
    "version": 1
  }
}