Pith Number

pith:VU22AIR4

pith:2023:VU22AIR4Q7XG7LNYF6NQVSFCQU

not attested not anchored not stored refs pending

LQG Risk-Sensitive Single-Agent and Major-Minor Mean-Field Game Systems: A Variational Framework

Dena Firoozi, Hanchao Liu, Mich\`ele Breton

arxiv:2305.15364 v4 · 2023-05-24 · math.OC · cs.SY · eess.SY · math.PR · q-fin.MF · q-fin.RM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VU22AIR4Q7XG7LNYF6NQVSFCQU}

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	2026-07-05T10:39:44.886714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad35a0223c87ee6fadb82f9b0ac8a28501db60651d0eeef528c7b455d751c4e6

Aliases

arxiv: 2305.15364 · arxiv_version: 2305.15364v4 · doi: 10.48550/arxiv.2305.15364 · pith_short_12: VU22AIR4Q7XG · pith_short_16: VU22AIR4Q7XG7LNY · pith_short_8: VU22AIR4

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/VU22AIR4Q7XG7LNYF6NQVSFCQU \
  | 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: ad35a0223c87ee6fadb82f9b0ac8a28501db60651d0eeef528c7b455d751c4e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd38c0ed27e5f60ade7cc85defcad6125ca1c664860c13aafb86bf13319c19d5",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.PR",
      "q-fin.MF",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-05-24T17:14:19Z",
    "title_canon_sha256": "b56706ad9c59911d42c4cb1937d263939b784dc9da60025e3031b6d7fbe2c9f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.15364",
    "kind": "arxiv",
    "version": 4
  }
}