Pith Number

pith:DVCXNAND

pith:2019:DVCXNAND6Q2XFAZIRLLXNCWIF7

not attested not anchored not stored refs pending

Normalized Flat Minima: Exploring Scale Invariant Definition of Flat Minima for Neural Networks using PAC-Bayesian Analysis

Issei Sato, Masashi Sugiyama, Yusuke Tsuzuku

arxiv:1901.04653 v2 · 2019-01-15 · 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{DVCXNAND6Q2XFAZIRLLXNCWIF7}

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

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization

Receipt and verification

First computed	2026-05-17T23:55:26.852474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d457681a3f4357283288ad7768ac82fe6a2fb464455bdee600c79543d55790d

Aliases

arxiv: 1901.04653 · arxiv_version: 1901.04653v2 · doi: 10.48550/arxiv.1901.04653 · pith_short_12: DVCXNAND6Q2X · pith_short_16: DVCXNAND6Q2XFAZI · pith_short_8: DVCXNAND

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/DVCXNAND6Q2XFAZIRLLXNCWIF7 \
  | 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: 1d457681a3f4357283288ad7768ac82fe6a2fb464455bdee600c79543d55790d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c433373c6727e2a3a23bf4e0fc032bbda95313d54c195d5bb67c38fe985d945",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-01-15T04:20:36Z",
    "title_canon_sha256": "eb78c4eda7a88e3b8dae3f89b56eec6d6f36fd39df433adfea35e5b9dfb306d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04653",
    "kind": "arxiv",
    "version": 2
  }
}