Pith Number

pith:6HIHITNA

pith:2025:6HIHITNAO5XPXL43D3TX5KSKWL

not attested not anchored not stored refs pending

Folded optimal transport and its application to separable quantum optimal transport

Thomas Borsoni

arxiv:2512.01722 v4 · 2025-12-01 · math.FA · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HIHITNAO5XPXL43D3TX5KSKWL}

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

Relations between different definitions of the quantum Wasserstein distance for qubits

Receipt and verification

First computed	2026-06-09T02:08:35.308812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d0744da0776efbaf9b1ee77eaa4ab2eba85efe65a8055ba2bf81479a3c0da0

Aliases

arxiv: 2512.01722 · arxiv_version: 2512.01722v4 · doi: 10.48550/arxiv.2512.01722 · pith_short_12: 6HIHITNAO5XP · pith_short_16: 6HIHITNAO5XPXL43 · pith_short_8: 6HIHITNA

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/6HIHITNAO5XPXL43D3TX5KSKWL \
  | 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: f1d0744da0776efbaf9b1ee77eaa4ab2eba85efe65a8055ba2bf81479a3c0da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1695ca8a8b03cdea00c9544b406294eaa669bbea02605728c8485c4dbfd09393",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-12-01T14:32:33Z",
    "title_canon_sha256": "be82c0ae84de8ab60fd9f6f89e015dc28237047bf469de24a4e93b7eb84ea5eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01722",
    "kind": "arxiv",
    "version": 4
  }
}