Pith Number

pith:PB62FUAC

pith:2025:PB62FUAC7I2TNQRUDVWLLM24DQ

not attested not anchored not stored refs pending

Likelihood Training of Cascaded Diffusion Models via Hierarchical Volume-preserving Maps

Henry Li, Ronen Basri, Yuval Kluger

arxiv:2501.06999 v1 · 2025-01-13 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PB62FUAC7I2TNQRUDVWLLM24DQ}

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	2026-07-05T10:00:13.490206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787da2d002fa3536c2341d6cb5b35c1c2124d763af28fea7246de9818d6e387f

Aliases

arxiv: 2501.06999 · arxiv_version: 2501.06999v1 · doi: 10.48550/arxiv.2501.06999 · pith_short_12: PB62FUAC7I2T · pith_short_16: PB62FUAC7I2TNQRU · pith_short_8: PB62FUAC

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/PB62FUAC7I2TNQRUDVWLLM24DQ \
  | 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: 787da2d002fa3536c2341d6cb5b35c1c2124d763af28fea7246de9818d6e387f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b409f201c60f0bb0c9789edcf3934d7eeb01b25e011f076ca45c70e9537381a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-13T01:20:23Z",
    "title_canon_sha256": "2b3f735f7ba57c3c8740aebfeb4ae1b5914992ca06608fb461a5da8e80dacede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06999",
    "kind": "arxiv",
    "version": 1
  }
}