Pith Number

pith:C5I5DWUG

pith:2020:C5I5DWUGSCAMO4ZZDOXSPWRDMI

not attested not anchored not stored refs pending

A PAC-Bayesian Perspective on Structured Prediction with Implicit Loss Embeddings

Benjamin Guedj, John Shawe-Taylor, Mar\'ia P\'erez-Ortiz, Th\'eophile Cantelobre

arxiv:2012.03780 v2 · 2020-12-07 · cs.LG · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5I5DWUGSCAMO4ZZDOXSPWRDMI}

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

Change of measure through the Legendre transform

Receipt and verification

First computed	2026-07-05T02:00:51.334143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1751d1da869080c773391baf27da23623d308b2bb4e5d8a629604b3f9d599ffc

Aliases

arxiv: 2012.03780 · arxiv_version: 2012.03780v2 · doi: 10.48550/arxiv.2012.03780 · pith_short_12: C5I5DWUGSCAM · pith_short_16: C5I5DWUGSCAMO4ZZ · pith_short_8: C5I5DWUG

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/C5I5DWUGSCAMO4ZZDOXSPWRDMI \
  | 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: 1751d1da869080c773391baf27da23623d308b2bb4e5d8a629604b3f9d599ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae52f0182408773af84c413287c8bcdd76703d40b8d727eae4874a9ed70a9ae7",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-07T15:19:43Z",
    "title_canon_sha256": "28a06cde6b98ceb464705a489bd619474d468f69ce8547f71bd46a45382bf40f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.03780",
    "kind": "arxiv",
    "version": 2
  }
}