Pith Number

pith:DISK3BK6

pith:2024:DISK3BK6ZKPOIQXQQF7BQWPJJB

not attested not anchored not stored refs pending

Langevin deformation for R\'enyi entropy on Wasserstein space over Riemannian manifolds

Rong Lei, Songzi Li, Xiang-Dong Li

arxiv:2410.20369 v1 · 2024-10-27 · math.PR

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\usepackage{pith}
\pithnumber{DISK3BK6ZKPOIQXQQF7BQWPJJB}

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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

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds

Receipt and verification

First computed	2026-07-05T09:26:43.810855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a24ad855eca9ee442f0817e1859e9486807016df248a60d6f55b3c737628667

Aliases

arxiv: 2410.20369 · arxiv_version: 2410.20369v1 · doi: 10.48550/arxiv.2410.20369 · pith_short_12: DISK3BK6ZKPO · pith_short_16: DISK3BK6ZKPOIQXQ · pith_short_8: DISK3BK6

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/DISK3BK6ZKPOIQXQQF7BQWPJJB \
  | 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: 1a24ad855eca9ee442f0817e1859e9486807016df248a60d6f55b3c737628667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403d8dc8f9eaa5cba32149b339bcc25d795301f75d764d5c99fda60a275f76a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-27T08:06:57Z",
    "title_canon_sha256": "ca0eb75c99e55670f5e9057268fecba163626efc43eb499c856c4bebc369bfc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.20369",
    "kind": "arxiv",
    "version": 1
  }
}