Pith Number

pith:HFEXNIEE

pith:2025:HFEXNIEECGPIZ4KA3JM5YPIV5O

not attested not anchored not stored refs pending

Finite-Agent Stochastic Differential Games on Large Graphs: II. Graph-Based Architectures

Haosheng Zhou, Jihao Long, Ruimeng Hu

arxiv:2509.12484 v2 · 2025-09-15 · cs.LG · cs.GT · 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{HFEXNIEECGPIZ4KA3JM5YPIV5O}

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	2026-07-22T01:23:31.830603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394976a084119e8cf140da59dc3d15eba7d70960756c8b220f007bdc73088609

Aliases

arxiv: 2509.12484 · arxiv_version: 2509.12484v2 · doi: 10.48550/arxiv.2509.12484 · pith_short_12: HFEXNIEECGPI · pith_short_16: HFEXNIEECGPIZ4KA · pith_short_8: HFEXNIEE

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/HFEXNIEECGPIZ4KA3JM5YPIV5O \
  | 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: 394976a084119e8cf140da59dc3d15eba7d70960756c8b220f007bdc73088609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058c61aafd08a0e65363dfae96e813560c3172cbe96a2eb062738060bec462cb",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-15T22:11:56Z",
    "title_canon_sha256": "b42d33f9dea28943a833fca77199f5f40137097c725dc5dd1b7f9adf4aee0f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.12484",
    "kind": "arxiv",
    "version": 2
  }
}