Pith Number

pith:NLK45AKX

pith:2026:NLK45AKX6N5QSR2SNRKI2LCMGY

not attested not anchored not stored refs pending

Tight Long-Term Tail Decay of (Clipped) SGD in Non-Convex Optimization

Aleksandar Armacki, Ali H. Sayed, Dragana Bajovi\'c, Du\v{s}an Jakoveti\'c, Soummya Kar

arxiv:2602.05657 v2 · 2026-02-05 · 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{NLK45AKX6N5QSR2SNRKI2LCMGY}

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	2026-06-04T01:09:46.976953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad5ce8157f37b0947526c548d2c4c3630832498fc1b9279c06f20a203956f4c

Aliases

arxiv: 2602.05657 · arxiv_version: 2602.05657v2 · doi: 10.48550/arxiv.2602.05657 · pith_short_12: NLK45AKX6N5Q · pith_short_16: NLK45AKX6N5QSR2S · pith_short_8: NLK45AKX

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/NLK45AKX6N5QSR2SNRKI2LCMGY \
  | 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: 6ad5ce8157f37b0947526c548d2c4c3630832498fc1b9279c06f20a203956f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cf1d8081564545041dd2718a4a3a0d7666e006c021bd92a9e59a3afe6b30351",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-05T13:41:13Z",
    "title_canon_sha256": "16bea43c21c242250392bb182113804180492030e6460f8fe5b35f1bef367cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05657",
    "kind": "arxiv",
    "version": 2
  }
}