Pith Number

pith:BPKVMJUS

pith:2026:BPKVMJUSYPM6FLIQ3I7G5C63J7

not attested not anchored not stored refs pending

Higher-Order Certified Robustness for Regression

Jie Zhang, Natalie Frank

arxiv:2607.05536 v1 · 2026-07-06 · 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{BPKVMJUSYPM6FLIQ3I7G5C63J7}

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	2026-07-08T01:18:36.580869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd5562692c3d9e2ad10da3e6e8bdb4ff49cb03238d58ee7c2eead1365e2b3c2

Aliases

arxiv: 2607.05536 · arxiv_version: 2607.05536v1 · doi: 10.48550/arxiv.2607.05536 · pith_short_12: BPKVMJUSYPM6 · pith_short_16: BPKVMJUSYPM6FLIQ · pith_short_8: BPKVMJUS

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/BPKVMJUSYPM6FLIQ3I7G5C63J7 \
  | 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: 0bd5562692c3d9e2ad10da3e6e8bdb4ff49cb03238d58ee7c2eead1365e2b3c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16e1efab36fa724ab8e10820288c9d8e5b39860efd3dcb392bd1a4b38db2ccc",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-06T18:17:13Z",
    "title_canon_sha256": "e03fcf98afa09cb0e08f4c5d5cd8eb8329e6a8befabed538a4bbb920d683e4a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05536",
    "kind": "arxiv",
    "version": 1
  }
}