Pith Number

pith:VYINIHFX

pith:2026:VYINIHFXKBYFQK4NNJF2MXO4Z4

not attested not anchored not stored refs pending

Smooth Learning with Hard Constraints via Legendre-Regularized Policies

Rui Chen, Yijie Wang, Zikun Lin

arxiv:2607.24007 v1 · 2026-07-27 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYINIHFXKBYFQK4NNJF2MXO4Z4}

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	2026-07-28T01:23:40.765309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae10d41cb75070582b8d6a4ba65ddccf0819633d38293ea3255ef537add007d2

Aliases

arxiv: 2607.24007 · arxiv_version: 2607.24007v1 · doi: 10.48550/arxiv.2607.24007 · pith_short_12: VYINIHFXKBYF · pith_short_16: VYINIHFXKBYFQK4N · pith_short_8: VYINIHFX

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/VYINIHFXKBYFQK4NNJF2MXO4Z4 \
  | 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: ae10d41cb75070582b8d6a4ba65ddccf0819633d38293ea3255ef537add007d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52cff8fbb5102c429dc2d2dfdc4ef0d565736a4f9869e87ed4672dc0d4832b75",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-27T05:09:41Z",
    "title_canon_sha256": "e05e27bfefa7438b04423d0e937336ee129d6351f4e0008a2a075059375c7df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24007",
    "kind": "arxiv",
    "version": 1
  }
}