Pith Number

pith:SO2N4HQJ

pith:2021:SO2N4HQJKP5KU5J6LEPCSPC52S

not attested not anchored not stored refs pending

Learning the temporal evolution of multivariate densities via normalizing flows

Felix Dietrich, Ioannis G. Kevrekidis, Jinqiao Duan, Romit Maulik, Ting Gao, Yubin Lu

arxiv:2107.13735 v2 · 2021-07-29 · stat.ML · cs.LG · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO2N4HQJKP5KU5J6LEPCSPC52S}

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	2026-07-05T04:20:15.552690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b4de1e0953faaa753e591e293c5dd4bddde2a42bf9e3932a1d143ef6c8e1cc

Aliases

arxiv: 2107.13735 · arxiv_version: 2107.13735v2 · doi: 10.48550/arxiv.2107.13735 · pith_short_12: SO2N4HQJKP5K · pith_short_16: SO2N4HQJKP5KU5J6 · pith_short_8: SO2N4HQJ

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/SO2N4HQJKP5KU5J6LEPCSPC52S \
  | 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: 93b4de1e0953faaa753e591e293c5dd4bddde2a42bf9e3932a1d143ef6c8e1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e025533c629ff5e83b5a06f6b1b5d597be5ec462d0f93d305b9969e337565123",
    "cross_cats_sorted": [
      "cs.LG",
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2021-07-29T04:05:02Z",
    "title_canon_sha256": "5df7b06111c08063183658402fe87dc78676f8cfe22444ba0ebb9f23f07a45c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13735",
    "kind": "arxiv",
    "version": 2
  }
}