Pith Number

pith:R76G5BOX

pith:2026:R76G5BOXVQO7L3WQ2A2ASUFI5R

not attested not anchored not stored refs pending

Convexifying Mean-Field Control: An Occupation-Measure and Frank-Wolfe Approach

Chaoying Pei, Di Yu, Sixiong You

arxiv:2607.22678 v1 · 2026-07-10 · math.OC · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R76G5BOXVQO7L3WQ2A2ASUFI5R}

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	2026-07-28T00:21:48.702540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ffc6e85d7ac1df5eed0d0340950a8ec786942bd4b67e06ce0de8d182c63e453

Aliases

arxiv: 2607.22678 · arxiv_version: 2607.22678v1 · doi: 10.48550/arxiv.2607.22678 · pith_short_12: R76G5BOXVQO7 · pith_short_16: R76G5BOXVQO7L3WQ · pith_short_8: R76G5BOX

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/R76G5BOXVQO7L3WQ2A2ASUFI5R \
  | 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: 8ffc6e85d7ac1df5eed0d0340950a8ec786942bd4b67e06ce0de8d182c63e453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f413dcfa16613d866ad5f67b6118f464617c4a6446bc359f764f66047c540d4",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-10T18:31:40Z",
    "title_canon_sha256": "27755853598f81337a0f24107602dce0ef8143a1d91c4791bf0a9dd145ff4334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22678",
    "kind": "arxiv",
    "version": 1
  }
}