Pith Number

pith:KZRZ5VDV

pith:2019:KZRZ5VDV2MVXP6F6KK5OI6RRM2

not attested not anchored not stored refs pending

Geometric Losses for Distributional Learning

Arthur Mensch (DMA, CNRS), Gabriel Peyr\'e (DMA, Mathieu Blondel

arxiv:1905.06005 v1 · 2019-05-15 · stat.ML · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZRZ5VDV2MVXP6F6KK5OI6RRM2}

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	2026-05-17T23:46:07.778796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56639ed475d32b77f8be52bae47a3166abd19f20637315bbad999f4fb17a8d0f

Aliases

arxiv: 1905.06005 · arxiv_version: 1905.06005v1 · doi: 10.48550/arxiv.1905.06005 · pith_short_12: KZRZ5VDV2MVX · pith_short_16: KZRZ5VDV2MVXP6F6 · pith_short_8: KZRZ5VDV

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/KZRZ5VDV2MVXP6F6KK5OI6RRM2 \
  | 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: 56639ed475d32b77f8be52bae47a3166abd19f20637315bbad999f4fb17a8d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757ed6d4c2bedf3a916268a01e13f16a067cc7d41cc59f3f910984b563fd61e6",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-05-15T07:49:10Z",
    "title_canon_sha256": "9aeb2e00e6447efdb68790af47f9c5980f705f29d74b7c67cfd9e4547f8ded92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06005",
    "kind": "arxiv",
    "version": 1
  }
}