Pith Number

pith:I74KRYON

pith:2026:I74KRYONXK6W7KCNZG4XGKRZD3

not attested not anchored not stored refs pending

Mean Field Stackelberg Game for Production and Carbon Emission Reduction with State Reflections

Jiacheng Zhang, Jingfei Wang, Lijun Bo, Zhen Liu

arxiv:2608.12775 v1 · 2026-08-13 · 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{I74KRYONXK6W7KCNZG4XGKRZD3}

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	2026-08-14T00:47:48.985529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f8a8e1cdbabd6fa84dc9b9732a391ef2602a7bb03d8c4c6c19ede5dc4a73f0

Aliases

arxiv: 2608.12775 · arxiv_version: 2608.12775v1 · doi: 10.48550/arxiv.2608.12775 · pith_short_12: I74KRYONXK6W · pith_short_16: I74KRYONXK6W7KCN · pith_short_8: I74KRYON

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/I74KRYONXK6W7KCNZG4XGKRZD3 \
  | 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: 47f8a8e1cdbabd6fa84dc9b9732a391ef2602a7bb03d8c4c6c19ede5dc4a73f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fe42c04f1d8f7359e5ac313ba439cc3752f6b3b1a534a413a82b84926ca865",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-13T03:34:37Z",
    "title_canon_sha256": "e9b545228bfd7ef850333c3dec3067feac3aa6a7a8115351c0afb571b66a902b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12775",
    "kind": "arxiv",
    "version": 1
  }
}