Pith Number

pith:5R5VCZSC

pith:2026:5R5VCZSCJBHBTTYI3IBKP5GEJY

not attested not anchored not stored refs pending

New Bounds for the Last Iterate of the Stochastic subGradient Method

Andrea Paudice, Guglielmo Beretta, Roberto Colomboni, Tommaso Cesari

arxiv:2606.24879 v1 · 2026-06-23 · math.OC · 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{5R5VCZSCJBHBTTYI3IBKP5GEJY}

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	2026-06-24T01:15:45.223760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7b516642484e19cf08da02a7f4c44e249a5378644b8ec60c43209f5a0e2cc6

Aliases

arxiv: 2606.24879 · arxiv_version: 2606.24879v1 · doi: 10.48550/arxiv.2606.24879 · pith_short_12: 5R5VCZSCJBHB · pith_short_16: 5R5VCZSCJBHBTTYI · pith_short_8: 5R5VCZSC

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/5R5VCZSCJBHBTTYI3IBKP5GEJY \
  | 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: ec7b516642484e19cf08da02a7f4c44e249a5378644b8ec60c43209f5a0e2cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d415fe65f1847f8f3fe5380b2294d7afc834bc46ccddf769af3fe23988db991",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-23T17:55:18Z",
    "title_canon_sha256": "0233f532f15842cc0d4c8d7000b7d4c18195852739f38403cd5507d2041c5a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24879",
    "kind": "arxiv",
    "version": 1
  }
}