Pith Number

pith:THBHO7MO

pith:2026:THBHO7MOYFM7L2BGAJAFRYU4JK

not attested not anchored not stored refs pending

Variance Reduction for Expectations with Diffusion Teachers

James Lucas, Jesse Bettencourt, Jonathan Lorraine, Matan Atzmon, Xindi Wu

arxiv:2605.21489 v1 · 2026-05-20 · cs.LG · cs.AI · cs.CV · stat.CO · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THBHO7MOYFM7L2BGAJAFRYU4JK}

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	2026-05-21T02:05:39.715955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c2777d8ec159f5e826024058e29c4a9ff709b3c6ee830210750eb8509cf17d

Aliases

arxiv: 2605.21489 · arxiv_version: 2605.21489v1 · doi: 10.48550/arxiv.2605.21489 · pith_short_12: THBHO7MOYFM7 · pith_short_16: THBHO7MOYFM7L2BG · pith_short_8: THBHO7MO

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/THBHO7MOYFM7L2BGAJAFRYU4JK \
  | 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: 99c2777d8ec159f5e826024058e29c4a9ff709b3c6ee830210750eb8509cf17d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2204816fa4edc3514aacf22f63033f48c1c919b2d68eff86d3289af6ed069a91",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV",
      "stat.CO",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T17:59:52Z",
    "title_canon_sha256": "73a2d5177f96602bf72fb5fbd5fae8aa668bc418046b8fc2369e87a86198203d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21489",
    "kind": "arxiv",
    "version": 1
  }
}