Pith Number

pith:FJOEURP4

pith:2025:FJOEURP4RZRS4PIXJDJDVHLLXX

not attested not anchored not stored refs pending

Extended mean field games with terminal constraint via decoupling fields

Peng Luo, Tianjiao Hua

arxiv:2506.07485 v1 · 2025-06-09 · 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{FJOEURP4RZRS4PIXJDJDVHLLXX}

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	2026-07-05T11:18:28.068737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5c4a45fc8e632e3d1748d23a9d6bbdcc044b0146c339aff378424d899f97c9

Aliases

arxiv: 2506.07485 · arxiv_version: 2506.07485v1 · doi: 10.48550/arxiv.2506.07485 · pith_short_12: FJOEURP4RZRS · pith_short_16: FJOEURP4RZRS4PIX · pith_short_8: FJOEURP4

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/FJOEURP4RZRS4PIXJDJDVHLLXX \
  | 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: 2a5c4a45fc8e632e3d1748d23a9d6bbdcc044b0146c339aff378424d899f97c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08125a5833b088b8bf7a993f55395ef7555447744791a5376178bd2689fc4b0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-09T07:05:39Z",
    "title_canon_sha256": "39f96ba21d8ed288de21bbd6bbd9bf6b36ecab5598b7f7dc417fe4c524747418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07485",
    "kind": "arxiv",
    "version": 1
  }
}