Pith Number

pith:I245CQZH

pith:2025:I245CQZHSNICVVWYE7OUR75U5S

not attested not anchored not stored refs pending

Linear-quadratic stochastic nonzero-sum differential games between graphon teams

De-xuan Xu, Nan-jing Huang, Zhun Gou

arxiv:2506.11468 v1 · 2025-06-13 · 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{I245CQZHSNICVVWYE7OUR75U5S}

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	2026-07-05T11:21:05.011405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b9d1432793502ad6d827dd48ffb4ecb47e2ba504b39357338b34f261429965

Aliases

arxiv: 2506.11468 · arxiv_version: 2506.11468v1 · doi: 10.48550/arxiv.2506.11468 · pith_short_12: I245CQZHSNIC · pith_short_16: I245CQZHSNICVVWY · pith_short_8: I245CQZH

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/I245CQZHSNICVVWYE7OUR75U5S \
  | 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: 46b9d1432793502ad6d827dd48ffb4ecb47e2ba504b39357338b34f261429965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b033649f75625b945c1741a149d9e06ef19943e53eef0ba070d9817083cdbc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-13T05:00:40Z",
    "title_canon_sha256": "caa260f33b27785548551d8a0eb1842080e1fa1d28e728a87e6668a135cb09d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11468",
    "kind": "arxiv",
    "version": 1
  }
}