Pith Number

pith:RSVF63PW

pith:2024:RSVF63PWAQD54QYB5YOJNW3HSJ

not attested not anchored not stored refs pending

On Optimal Transport Maps Between 1 /d-Concave Densities

Alessio Figalli (D-MATH), Filippo Santambrogio (MMCS), Guillaume Carlier (CEREMADE)

arxiv:2404.05456 v1 · 2024-04-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSVF63PWAQD54QYB5YOJNW3HSJ}

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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

2 papers in Pith

Spectral Obstructions to Contracting Transport Maps on Curved Spaces

Sample Complexity of Transfer Learning: An Optimal Transport Approach

Receipt and verification

First computed	2026-07-05T08:05:31.189070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8caa5f6df60407de4301ee1c96db67926458c937bfe0bcf8021211607594debc

Aliases

arxiv: 2404.05456 · arxiv_version: 2404.05456v1 · doi: 10.48550/arxiv.2404.05456 · pith_short_12: RSVF63PWAQD5 · pith_short_16: RSVF63PWAQD54QYB · pith_short_8: RSVF63PW

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/RSVF63PWAQD54QYB5YOJNW3HSJ \
  | 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: 8caa5f6df60407de4301ee1c96db67926458c937bfe0bcf8021211607594debc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4362403e185cc7a83ec1067435365c53ab5c2c35f2dcee496e82ec8c68b987d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-04-08T12:39:35Z",
    "title_canon_sha256": "9c6bdcec58c59f585cb63b8cdd4c38139462f936f62bfb75085eecf50f5d0b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.05456",
    "kind": "arxiv",
    "version": 1
  }
}