Pith Number

pith:3CZFAGFB

pith:2026:3CZFAGFBJZ6AESOKOHDI7UH2YA

not attested not anchored not stored refs pending

Entropy Across the Bridge: Conditional-Marginal Discretization for Flow and Schr\"odinger Samplers

Alexander Tong, Bruno Trentini, Dejan Stancevic, Luca Ambrogioni, Michael M. Bronstein

arxiv:2605.16126 v1 · 2026-05-15 · cs.LG · cs.AI · cs.IT · math.IT · math.ST · stat.OT · 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{3CZFAGFBJZ6AESOKOHDI7UH2YA}

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	2026-05-20T00:01:53.956637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b25018a14e7c0249ca71c68fd0fac01b13ccb2c9599728857f0ee659b6bdd4

Aliases

arxiv: 2605.16126 · arxiv_version: 2605.16126v1 · doi: 10.48550/arxiv.2605.16126 · pith_short_12: 3CZFAGFBJZ6A · pith_short_16: 3CZFAGFBJZ6AESOK · pith_short_8: 3CZFAGFB

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/3CZFAGFBJZ6AESOKOHDI7UH2YA \
  | 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: d8b25018a14e7c0249ca71c68fd0fac01b13ccb2c9599728857f0ee659b6bdd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9e7fb20e4446cb70bba1fd2382b853dd8312d07f85111ba680c2bdccf864f3",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.OT",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-15T16:11:10Z",
    "title_canon_sha256": "a06ab4ff9054049010a20436dc0ddd5d53f29add848a626dfd8fcdf0336c73dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16126",
    "kind": "arxiv",
    "version": 1
  }
}