Pith Number

pith:GEY2JBYJ

pith:2026:GEY2JBYJ7VEKPPDMVN6B4JBOJP

not attested not anchored not stored refs pending

Denoising growth complexity: Data geometry and certified schedules for diffusion sampling

Martin J. Wainwright

arxiv:2607.26285 v1 · 2026-07-28 · math.ST · cs.LG · cs.NA · math.NA · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEY2JBYJ7VEKPPDMVN6B4JBOJP}

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	2026-07-30T01:17:55.149289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

3131a48709fd48a7bc6cab7c1e242e4bd2554ec45a1e75e2bf7b4a02ca4180f5

Aliases

arxiv: 2607.26285 · arxiv_version: 2607.26285v1 · doi: 10.48550/arxiv.2607.26285 · pith_short_12: GEY2JBYJ7VEK · pith_short_16: GEY2JBYJ7VEKPPDM · pith_short_8: GEY2JBYJ

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/GEY2JBYJ7VEKPPDMVN6B4JBOJP \
  | 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: 3131a48709fd48a7bc6cab7c1e242e4bd2554ec45a1e75e2bf7b4a02ca4180f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f3908f7855f3fa9048ba1f68906032d372b55d23766556f3a9551e577b1989",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-28T21:26:16Z",
    "title_canon_sha256": "b62909b38a10a759353e91b267bc148a49aae3c92ce8fca5e0784e36203384de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26285",
    "kind": "arxiv",
    "version": 1
  }
}