Pith Number

pith:N2AOV6DK

pith:2025:N2AOV6DKZ3TF5HIZT3CJVPJBZM

not attested not anchored not stored refs pending

Spectral Shrinkage of Gaussian Entropic Optimal Transport

Ho Yun

arxiv:2512.19457 v2 · 2025-12-22 · math.OC · 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{N2AOV6DKZ3TF5HIZT3CJVPJBZM}

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	2026-05-27T01:05:41.619666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e80eaf86acee65e9d199ec49abd21cb11de1f5003d33fc0b894b0e7adfe762f

Aliases

arxiv: 2512.19457 · arxiv_version: 2512.19457v2 · doi: 10.48550/arxiv.2512.19457 · pith_short_12: N2AOV6DKZ3TF · pith_short_16: N2AOV6DKZ3TF5HIZ · pith_short_8: N2AOV6DK

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/N2AOV6DKZ3TF5HIZT3CJVPJBZM \
  | 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: 6e80eaf86acee65e9d199ec49abd21cb11de1f5003d33fc0b894b0e7adfe762f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f96dd2e1b2f7d16e4baf6dd1347251cce74dc6894e1bee13f0cba548e7c79bd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-12-22T15:03:08Z",
    "title_canon_sha256": "3d5acf0affa5b54bd4e6699185c44d6b20fa85161cc6a961cd9e1f8450c93bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19457",
    "kind": "arxiv",
    "version": 2
  }
}