Pith Number

pith:PLY5OKRB

pith:2026:PLY5OKRBLIOUPMBOG4WTA6JZQ4

not attested not anchored not stored refs pending

The conditional-mean barrier: From deterministic regression to conditional distribution learning

Junfeng Chen

arxiv:2605.28076 v1 · 2026-05-27 · stat.ML · cs.NA · math.NA · nlin.CD · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLY5OKRBLIOUPMBOG4WTA6JZQ4}

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	2026-05-28T01:04:57.886754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af1d72a215a1d47b02e372d307939873b75ad586efb23cafe57e3f451004b67

Aliases

arxiv: 2605.28076 · arxiv_version: 2605.28076v1 · doi: 10.48550/arxiv.2605.28076 · pith_short_12: PLY5OKRBLIOU · pith_short_16: PLY5OKRBLIOUPMBO · pith_short_8: PLY5OKRB

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/PLY5OKRBLIOUPMBOG4WTA6JZQ4 \
  | 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: 7af1d72a215a1d47b02e372d307939873b75ad586efb23cafe57e3f451004b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a765ba1905538ad35ae60a7b5819d9b07e53835c802bc449cd02fe0bb07290fa",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "nlin.CD",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-27T07:31:42Z",
    "title_canon_sha256": "4496fffd5071217aca880c430b71533ba54340a9079f559cb8aa9dc10b369be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28076",
    "kind": "arxiv",
    "version": 1
  }
}