Pith Number

pith:XPUI4QA4

pith:2026:XPUI4QA4CYB4FSQL2NISCN6VYE

not attested not anchored not stored refs pending

How Far Can Sharpness and Complexity Jointly Explain Generalization?

Longxiu Huang, Rongrong Wang, Xitong Zhang, Ziyu Cheng

arxiv:2606.29043 v1 · 2026-06-27 · 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{XPUI4QA4CYB4FSQL2NISCN6VYE}

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	2026-06-30T01:17:50.519447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe88e401c1603c2ca0bd3512137d5c136519016743fc353b89be26131ec7594

Aliases

arxiv: 2606.29043 · arxiv_version: 2606.29043v1 · doi: 10.48550/arxiv.2606.29043 · pith_short_12: XPUI4QA4CYB4 · pith_short_16: XPUI4QA4CYB4FSQL · pith_short_8: XPUI4QA4

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/XPUI4QA4CYB4FSQL2NISCN6VYE \
  | 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: bbe88e401c1603c2ca0bd3512137d5c136519016743fc353b89be26131ec7594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a462e71c709e549b7595991634ba9128ce61d0ce25b1622a10b267a89b2db7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-27T18:39:21Z",
    "title_canon_sha256": "4c3962726e08704ba79e7fce056012cc76b309ec6261063abd181f58ad01511f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29043",
    "kind": "arxiv",
    "version": 1
  }
}