Pith Number

pith:HBGENUHE

pith:2026:HBGENUHESSXRLUMFPMWTZOCUCB

not attested not anchored not stored refs pending

A Regularized Nikaido-Isoda Function Approach to Multi-Leader-Follower Games

Atsushi Hori, Ellen H. Fukuda, Takayuki Okuno

arxiv:2606.20013 v1 · 2026-06-18 · 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{HBGENUHESSXRLUMFPMWTZOCUCB}

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	2026-06-19T16:13:00.647650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384c46d0e494af15d1857b2d3cb854106256758c49b73592202131535199586c

Aliases

arxiv: 2606.20013 · arxiv_version: 2606.20013v1 · doi: 10.48550/arxiv.2606.20013 · pith_short_12: HBGENUHESSXR · pith_short_16: HBGENUHESSXRLUMF · pith_short_8: HBGENUHE

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/HBGENUHESSXRLUMFPMWTZOCUCB \
  | 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: 384c46d0e494af15d1857b2d3cb854106256758c49b73592202131535199586c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c64fb9899a6035a93a64683714b04e5d17f9512876907e07522b6394e6057e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-18T09:47:00Z",
    "title_canon_sha256": "79c50c798987ea71be54c7ebe23892309a57c3e11e37d77ad729c0336055c4d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20013",
    "kind": "arxiv",
    "version": 1
  }
}