Pith Number

pith:NSFXMZ2E

pith:2026:NSFXMZ2EKCY3NTCTFCRTTX4ZVP

not attested not anchored not stored refs pending

Stackelberg Games with a Robust Leader

Jianfeng Zhang, Juan Li, Zimu Zhu

arxiv:2607.21890 v1 · 2026-07-24 · 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{NSFXMZ2EKCY3NTCTFCRTTX4ZVP}

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	2026-07-27T00:20:26.463059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c8b76674450b1b6cc5328a339df99abef0e455241e8b1ce58df49a54e408651

Aliases

arxiv: 2607.21890 · arxiv_version: 2607.21890v1 · doi: 10.48550/arxiv.2607.21890 · pith_short_12: NSFXMZ2EKCY3 · pith_short_16: NSFXMZ2EKCY3NTCT · pith_short_8: NSFXMZ2E

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/NSFXMZ2EKCY3NTCTFCRTTX4ZVP \
  | 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: 6c8b76674450b1b6cc5328a339df99abef0e455241e8b1ce58df49a54e408651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9512680ff4dbf96029f0d5f9d94385f1bdb4d338a371e29c81462ac9506056ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-24T01:35:26Z",
    "title_canon_sha256": "9b927f429793ebafab5bc56e765f7e50d83ef58bbb7cc681002440b2815f2b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21890",
    "kind": "arxiv",
    "version": 1
  }
}