Pith Number

pith:CFP224TB

pith:2024:CFP224TBXLLQQUZJZ6TONHSYIY

not attested not anchored not stored refs pending

An Optimal Pricing Formula for Smart Grid based on Stackelberg Game

Ge Chen, Jiangjiang Cheng, Yifen Mu, Zhouming Wu

arxiv:2407.09948 v1 · 2024-07-13 · 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{CFP224TBXLLQQUZJZ6TONHSYIY}

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

2 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

Receipt and verification

First computed	2026-07-05T08:43:36.900369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115fad7261bad7085329cfa6e69e58463e117cf02245e67c46ae5bdcfc8d102b

Aliases

arxiv: 2407.09948 · arxiv_version: 2407.09948v1 · doi: 10.48550/arxiv.2407.09948 · pith_short_12: CFP224TBXLLQ · pith_short_16: CFP224TBXLLQQUZJ · pith_short_8: CFP224TB

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/CFP224TBXLLQQUZJZ6TONHSYIY \
  | 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: 115fad7261bad7085329cfa6e69e58463e117cf02245e67c46ae5bdcfc8d102b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201700e549a4f05dfc98b79edbd860b753f9481cb1bb717a44e17332f244a074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-07-13T17:05:37Z",
    "title_canon_sha256": "99c7ab626d7ce274fd1360b23ed26273c4249d61989351726ab32dd604e27e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09948",
    "kind": "arxiv",
    "version": 1
  }
}