Pith Number

pith:6ECFS6IS

pith:2021:6ECFS6ISFNM6H53OFQS6IWC3LK

not attested not anchored not stored refs pending

Exponential escape efficiency of SGD from sharp minima in non-stationary regime

Hikaru Ibayashi, Masaaki Imaizumi

arxiv:2111.04004 v2 · 2021-11-07 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ECFS6ISFNM6H53OFQS6IWC3LK}

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	2026-07-05T04:06:30.421611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1045979122b59e3f76e2c25e4585b5a801279810bc7341a273f4f66d2d5f80c

Aliases

arxiv: 2111.04004 · arxiv_version: 2111.04004v2 · doi: 10.48550/arxiv.2111.04004 · pith_short_12: 6ECFS6ISFNM6 · pith_short_16: 6ECFS6ISFNM6H53O · pith_short_8: 6ECFS6IS

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/6ECFS6ISFNM6H53OFQS6IWC3LK \
  | 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: f1045979122b59e3f76e2c25e4585b5a801279810bc7341a273f4f66d2d5f80c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d0dcf9397f25fa25780bfbef768431e6ea1c2e5e0309d3ba08caad84f2b9414",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-07T05:00:35Z",
    "title_canon_sha256": "10beef5c45d88de2c0477caaf1799d371d430a37b492f2fb4576f731b64b9792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04004",
    "kind": "arxiv",
    "version": 2
  }
}