Pith Number

pith:AUD23LXB

pith:2026:AUD23LXB3NWXUDUHDBMXULKXZS

not attested not anchored not stored refs pending

Sharp Asymptotics for Regularized Optimal Transport

Alberto Gonz\'alez-Sanz, Carlos Cardoso-Perell\'o, Marcel Nutz

arxiv:2607.18191 v1 · 2026-07-20 · math.AP · math.OC · 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{AUD23LXB3NWXUDUHDBMXULKXZS}

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	2026-07-21T02:22:26.823197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0507adaee1db6d7a0e8718597a2d57cc8b8c008db189ddb47596d4e75216e7a0

Aliases

arxiv: 2607.18191 · arxiv_version: 2607.18191v1 · doi: 10.48550/arxiv.2607.18191 · pith_short_12: AUD23LXB3NWX · pith_short_16: AUD23LXB3NWXUDUH · pith_short_8: AUD23LXB

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/AUD23LXB3NWXUDUHDBMXULKXZS \
  | 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: 0507adaee1db6d7a0e8718597a2d57cc8b8c008db189ddb47596d4e75216e7a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a75c3170ca3e4cf50ba14d530a505493f7baa35e355118d33398bd96de821a5",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-20T17:30:33Z",
    "title_canon_sha256": "1e4c71f3db4f9976efcca48a461614cb611a2a18a9f1e66e22a21ca37f1643f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18191",
    "kind": "arxiv",
    "version": 1
  }
}