Pith Number

pith:XEOPZI6D

pith:2024:XEOPZI6D7R2CUUZL2EYFSG7DKZ

not attested not anchored not stored refs pending

Tight stability bounds for entropic Brenier maps

Aram-Alexandre Pooladian, Jonathan Niles-Weed, Vincent Divol

arxiv:2404.02855 v1 · 2024-04-03 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEOPZI6D7R2CUUZL2EYFSG7DKZ}

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.

Cited by

1 paper in Pith

Stability of Quadratically Regularized Optimal Transport

Receipt and verification

First computed	2026-07-05T08:04:02.024673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91cfca3c3fc742a532bd130591be356784fd2be69f3c2548f03ae04e98b78ea

Aliases

arxiv: 2404.02855 · arxiv_version: 2404.02855v1 · doi: 10.48550/arxiv.2404.02855 · pith_short_12: XEOPZI6D7R2C · pith_short_16: XEOPZI6D7R2CUUZL · pith_short_8: XEOPZI6D

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/XEOPZI6D7R2CUUZL2EYFSG7DKZ \
  | 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: b91cfca3c3fc742a532bd130591be356784fd2be69f3c2548f03ae04e98b78ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076f309cf0b154576643cded10ef44c88ebd1209154b4928f0fc602251ff4473",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-04-03T16:37:16Z",
    "title_canon_sha256": "10234f9baea5694817ae15f8c066f1c13bcfa31a61a2a6b3c5c7ecca1bbf9672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02855",
    "kind": "arxiv",
    "version": 1
  }
}