Pith Number

pith:I2OJHAG3

pith:2025:I2OJHAG35ADFCOW2XKN6YZOMZH

not attested not anchored not stored refs pending

Kernel Trace Distance: Quantum Statistical Metric between Measures through RKHS Density Operators

Anna Korba, Arturo Castellanos, Hicham Janati, Pavlo Mozharovskyi

arxiv:2507.06055 v1 · 2025-07-08 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2OJHAG35ADFCOW2XKN6YZOMZH}

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	2026-07-05T11:33:40.792337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469c9380dbe806513adaba9bec65ccc9f33c517f2d391d93d2e05317b87d5e42

Aliases

arxiv: 2507.06055 · arxiv_version: 2507.06055v1 · doi: 10.48550/arxiv.2507.06055 · pith_short_12: I2OJHAG35ADF · pith_short_16: I2OJHAG35ADFCOW2 · pith_short_8: I2OJHAG3

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/I2OJHAG35ADFCOW2XKN6YZOMZH \
  | 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: 469c9380dbe806513adaba9bec65ccc9f33c517f2d391d93d2e05317b87d5e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a6c918fb74b200a146e0074989b8168852be198f56d087d3aad60afbb2e99b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-07-08T14:56:44Z",
    "title_canon_sha256": "6af1f8c7037f21d96c75345ee5ea6c004bc09cd56997d57585d4f3b21721c87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06055",
    "kind": "arxiv",
    "version": 1
  }
}