Pith Number

pith:2KHDVUD4

pith:2026:2KHDVUD4A5TRD6KJM6EX2JE66S

not attested not anchored not stored refs pending

Adam Converges in Nonsmooth Nonconvex Optimization

Zijian Liu

arxiv:2606.22326 v1 · 2026-06-21 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KHDVUD4A5TRD6KJM6EX2JE66S}

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	2026-06-23T02:13:34.935842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28e3ad07c076711f94967897d249ef4b80b8af1f50ab9ddc62d5e14fa60ae36

Aliases

arxiv: 2606.22326 · arxiv_version: 2606.22326v1 · doi: 10.48550/arxiv.2606.22326 · pith_short_12: 2KHDVUD4A5TR · pith_short_16: 2KHDVUD4A5TRD6KJ · pith_short_8: 2KHDVUD4

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/2KHDVUD4A5TRD6KJM6EX2JE66S \
  | 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: d28e3ad07c076711f94967897d249ef4b80b8af1f50ab9ddc62d5e14fa60ae36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157207afeec27a89ccd04ce86028ce2a9e0b5ee6c4d8851b5614c7ca5e104406",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-21T04:00:35Z",
    "title_canon_sha256": "8e6dc4a69f901e88d4db18a9df0c53638e3928569b243c4353b6c1a8cabc2629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22326",
    "kind": "arxiv",
    "version": 1
  }
}