Pith Number

pith:Z6BGWMAS

pith:2026:Z6BGWMAS5SSKI5EY3EHYE573IB

not attested not anchored not stored refs pending

PAC--Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors

Fabio Anselmi, Nicola Aladrah

arxiv:2607.18422 v1 · 2026-07-20 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6BGWMAS5SSKI5EY3EHYE573IB}

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	2026-07-22T00:22:47.607403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf826b3012eca4a47498d90f8277fb4071a2b33c8cef267688a4bd93eb2dce07

Aliases

arxiv: 2607.18422 · arxiv_version: 2607.18422v1 · doi: 10.48550/arxiv.2607.18422 · pith_short_12: Z6BGWMAS5SSK · pith_short_16: Z6BGWMAS5SSKI5EY · pith_short_8: Z6BGWMAS

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/Z6BGWMAS5SSKI5EY3EHYE573IB \
  | 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: cf826b3012eca4a47498d90f8277fb4071a2b33c8cef267688a4bd93eb2dce07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f36d13397219e241bb43b0dc6e999e13353c71a303b9abfb1561f33438cfdb",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-20T18:12:00Z",
    "title_canon_sha256": "56ab778d9536d2df00e0dcc89ddd13923f7807c01436cc3b3f594ebbac1e19e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18422",
    "kind": "arxiv",
    "version": 1
  }
}