Pith Number

pith:RQ55TTBF

pith:2026:RQ55TTBFDSSVB7SPEMW7RDRDYF

not attested not anchored not stored refs pending

Mean Field Competition of Optimal Switching: The Vanishing Entropy Regularization Approach

Shu Wang, Xiang Yu, Zongxia Liang

arxiv:2605.29892 v1 · 2026-05-28 · 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{RQ55TTBFDSSVB7SPEMW7RDRDYF}

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	2026-05-29T02:05:58.175192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c3bd9cc251ca550fe4f232df88e23c1407bc47c6ed36c322e4808c51966ad26

Aliases

arxiv: 2605.29892 · arxiv_version: 2605.29892v1 · doi: 10.48550/arxiv.2605.29892 · pith_short_12: RQ55TTBFDSSV · pith_short_16: RQ55TTBFDSSVB7SP · pith_short_8: RQ55TTBF

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/RQ55TTBFDSSVB7SPEMW7RDRDYF \
  | 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: 8c3bd9cc251ca550fe4f232df88e23c1407bc47c6ed36c322e4808c51966ad26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c28b1686e329fa36643eff36c7a94861bd851d21ee6a2583864898407f6cec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-28T13:16:22Z",
    "title_canon_sha256": "f093fde1d41b020f7ce719adfae42e7919ae1173ff28bb8c5f11bd0951bd58eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29892",
    "kind": "arxiv",
    "version": 1
  }
}