Pith Number

pith:HZLS3EZK

pith:2025:HZLS3EZKXZLE7OOOMZXEF4YYRI

not attested not anchored not stored refs pending

Nash Equilibria of Noncooperative/Mixed Differential Games with Density Constraints in Infinite Dimensions

Jen-Chih Yao, Jian-hao Kang, Nan-jing Huang, Zhun Gou

arxiv:2508.07623 v2 · 2025-08-11 · 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{HZLS3EZKXZLE7OOOMZXEF4YYRI}

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	2026-07-05T11:56:06.233848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e572d932abe564fb9ce666e42f3188a18f63b394d612c47addb3c3077ac0f0a

Aliases

arxiv: 2508.07623 · arxiv_version: 2508.07623v2 · doi: 10.48550/arxiv.2508.07623 · pith_short_12: HZLS3EZKXZLE · pith_short_16: HZLS3EZKXZLE7OOO · pith_short_8: HZLS3EZK

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/HZLS3EZKXZLE7OOOMZXEF4YYRI \
  | 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: 3e572d932abe564fb9ce666e42f3188a18f63b394d612c47addb3c3077ac0f0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48fc794a78acadb0cdc187dce364cc45c38d6c1cb997e67609621f0b2fb51f98",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-11T05:06:03Z",
    "title_canon_sha256": "b0d492616c9f6cebd25732c652d1c77a605fc0b8f8ffe3ce3acea4e0e307bcb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07623",
    "kind": "arxiv",
    "version": 2
  }
}