Pith Number

pith:4XICZQ3Q

pith:2025:4XICZQ3QEGKD77G3TVIE3MVEFF

not attested not anchored not stored refs pending

Finding a Multiple Follower Stackelberg Equilibrium: A Fully First-Order Method

April Niu, Juba Ziani, Kai Wang

arxiv:2509.08161 v1 · 2025-09-09 · 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{4XICZQ3QEGKD77G3TVIE3MVEFF}

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.

Cited by

3 papers in Pith

Shared Infrastructure Investment and Pricing: Stackelberg Equilibria in Risk-Aware Take-or-Pay Contracts

Continuity of VaR and Continuous Differentiability of CVaR under Decision-Dependent Losses

Finite-Time Analysis of Q-Value Iteration for General-Sum Stackelberg Games

Receipt and verification

First computed	2026-07-05T12:08:24.074511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d02cc37021943ffcdb9d504db2a4295e2f60582fb959b9a230743c931e7147

Aliases

arxiv: 2509.08161 · arxiv_version: 2509.08161v1 · doi: 10.48550/arxiv.2509.08161 · pith_short_12: 4XICZQ3QEGKD · pith_short_16: 4XICZQ3QEGKD77G3 · pith_short_8: 4XICZQ3Q

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/4XICZQ3QEGKD77G3TVIE3MVEFF \
  | 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: e5d02cc37021943ffcdb9d504db2a4295e2f60582fb959b9a230743c931e7147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf2c10e21f2e545831a79dc51b1029da66deb306a9b37dcf87eb4b9b656ce02",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-09T21:46:22Z",
    "title_canon_sha256": "028ad4e65beb957f5c38c75540a83ef788cc73aaed0cfa06786c97da9cff2c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08161",
    "kind": "arxiv",
    "version": 1
  }
}