Pith Number

pith:LSMPO7BY

pith:2025:LSMPO7BYRTKDSJAPVUJOWFWFXJ

not attested not anchored not stored refs pending

Control on Hilbert Space and Mean Field Control: the Common Noise Case

Alain Bensoussan, Phillip Yam, P. Jameson Graber

arxiv:2502.07051 v1 · 2025-02-10 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSMPO7BYRTKDSJAPVUJOWFWFXJ}

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	2026-07-05T10:12:31.776700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c98f77c388cd439240fad12eb16c5ba40b13a5ba7f8eee094f8f212cee90b9c

Aliases

arxiv: 2502.07051 · arxiv_version: 2502.07051v1 · doi: 10.48550/arxiv.2502.07051 · pith_short_12: LSMPO7BYRTKD · pith_short_16: LSMPO7BYRTKDSJAP · pith_short_8: LSMPO7BY

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/LSMPO7BYRTKDSJAPVUJOWFWFXJ \
  | 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: 5c98f77c388cd439240fad12eb16c5ba40b13a5ba7f8eee094f8f212cee90b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189dcc669bf5895b52470eaddce7858338556ccbe081e296fe748ce9e5871dd9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-10T21:36:26Z",
    "title_canon_sha256": "043c2e6fd69170ad39ab97ea31e92955d8931c26c7c52f88a21955e36fbaf499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07051",
    "kind": "arxiv",
    "version": 1
  }
}