Pith Number

pith:Q5ZYNVWH

pith:2026:Q5ZYNVWHPDOUDOW4AFLL5EGBFQ

not attested not anchored not stored refs pending

Probabilistic Smoothing with Ratio-Monotone Transforms for Global Optimization

Junrui Zhang, Kukyoung Jang, Kyungjae Lee, Ping Xu, Taehyun Cho

arxiv:2605.27316 v1 · 2026-05-26 · cs.LG · 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{Q5ZYNVWHPDOUDOW4AFLL5EGBFQ}

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	2026-05-27T02:06:17.785478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877386d6c778dd41badc0156be90c12c32280f61e9d946e4b7968eb1afebfb86

Aliases

arxiv: 2605.27316 · arxiv_version: 2605.27316v1 · doi: 10.48550/arxiv.2605.27316 · pith_short_12: Q5ZYNVWHPDOU · pith_short_16: Q5ZYNVWHPDOUDOW4 · pith_short_8: Q5ZYNVWH

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/Q5ZYNVWHPDOUDOW4AFLL5EGBFQ \
  | 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: 877386d6c778dd41badc0156be90c12c32280f61e9d946e4b7968eb1afebfb86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4735d750cccaeb652f016d9968799d7f1c97e811a9c6f4f0c23fdc5c7df1ce8d",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-26T17:25:01Z",
    "title_canon_sha256": "bf1d61c7cdae3e9a7a88693ef9d8dc664e39686b989a072718f49b14cfd51492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27316",
    "kind": "arxiv",
    "version": 1
  }
}