Pith Number

pith:2YCKKTFU

pith:2026:2YCKKTFUPOX57QRFWRLKPJLSYM

not attested not anchored not stored refs pending

Mean-Field Control with a Common Hidden State under Decentralized Observations

Ali D. Kara, Erhan Bayraktar

arxiv:2606.19639 v1 · 2026-06-17 · 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{2YCKKTFUPOX57QRFWRLKPJLSYM}

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	2026-06-19T16:12:31.010601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d604a54cb47bafdfc225b456a7a572c316b7b3d179532ebb6f3873c9a5f8b629

Aliases

arxiv: 2606.19639 · arxiv_version: 2606.19639v1 · doi: 10.48550/arxiv.2606.19639 · pith_short_12: 2YCKKTFUPOX5 · pith_short_16: 2YCKKTFUPOX57QRF · pith_short_8: 2YCKKTFU

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/2YCKKTFUPOX57QRFWRLKPJLSYM \
  | 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: d604a54cb47bafdfc225b456a7a572c316b7b3d179532ebb6f3873c9a5f8b629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777c0385da7a8788ce09afc8a18717f967b0e7183d52f4fe792b08027062fc3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-17T22:32:17Z",
    "title_canon_sha256": "ceafa1caeb11509257f352463f5f6c01327d2c1a4e2b6048528d94245ff2f783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19639",
    "kind": "arxiv",
    "version": 1
  }
}