Pith Number

pith:XOFEDTT7

pith:2024:XOFEDTT7KMMYRXQUHACQJ3OKDC

not attested not anchored not stored refs pending

Approximation rates of entropic maps in semidiscrete optimal transport

Kengo Kato, Ritwik Sadhu, Ziv Goldfeld

arxiv:2411.07947 v2 · 2024-11-12 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOFEDTT7KMMYRXQUHACQJ3OKDC}

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	2026-07-05T09:38:32.292939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb8a41ce7f531988de14380504edca189b537187f988b29f06e1feae37c890e1

Aliases

arxiv: 2411.07947 · arxiv_version: 2411.07947v2 · doi: 10.48550/arxiv.2411.07947 · pith_short_12: XOFEDTT7KMMY · pith_short_16: XOFEDTT7KMMYRXQU · pith_short_8: XOFEDTT7

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/XOFEDTT7KMMYRXQUHACQJ3OKDC \
  | 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: bb8a41ce7f531988de14380504edca189b537187f988b29f06e1feae37c890e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b43c394f68c7c8ce708532d2288d4467fb7b65dc3251d6f5559e1596660ed2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-12T17:19:25Z",
    "title_canon_sha256": "12d2530f493759a138463393501200fa244c769c2bd3306fd9bf000f0f1af1cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.07947",
    "kind": "arxiv",
    "version": 2
  }
}