Pith Number

pith:QTOUUWQS

pith:2026:QTOUUWQS3CW6ZWRGLKDOQ4TFGN

not attested not anchored not stored refs pending

Schr\"odingerization based quantum algorithms for regularized Wasserstein proximal operators

Nana Liu, Shi Jin, Yue Yu

arxiv:2606.28752 v1 · 2026-06-27 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTOUUWQS3CW6ZWRGLKDOQ4TFGN}

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	2026-06-30T01:16:50.375886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84dd4a5a12d8adecda265a86e8726533424acd5548c8985e2368f6925218d122

Aliases

arxiv: 2606.28752 · arxiv_version: 2606.28752v1 · doi: 10.48550/arxiv.2606.28752 · pith_short_12: QTOUUWQS3CW6 · pith_short_16: QTOUUWQS3CW6ZWRG · pith_short_8: QTOUUWQS

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/QTOUUWQS3CW6ZWRGLKDOQ4TFGN \
  | 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: 84dd4a5a12d8adecda265a86e8726533424acd5548c8985e2368f6925218d122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3060f7bbddb074da825272bb888c1b6c265788f644152ae9249390d8e0c8958",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-27T06:01:49Z",
    "title_canon_sha256": "c9313b1567d18ccac69db652b7203b372d5099c834766508a9530b422cc480a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28752",
    "kind": "arxiv",
    "version": 1
  }
}