Pith Number

pith:JDWNFNBL

pith:2026:JDWNFNBLVDM5APYWYS27DDDNFK

not attested not anchored not stored refs pending

A stochastic gradient algorithm for non-separable optimization with convergence guarantee

Ruofan Wu, Yingzhou Li

arxiv:2606.10383 v1 · 2026-06-09 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDWNFNBLVDM5APYWYS27DDDNFK}

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	2026-06-10T01:10:15.140845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ecd2b42ba8d9d03f16c4b5f18c6d2aa2eedb61e3d9c47df9fc2c910d8aedd9

Aliases

arxiv: 2606.10383 · arxiv_version: 2606.10383v1 · doi: 10.48550/arxiv.2606.10383 · pith_short_12: JDWNFNBLVDM5 · pith_short_16: JDWNFNBLVDM5APYW · pith_short_8: JDWNFNBL

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/JDWNFNBLVDM5APYWYS27DDDNFK \
  | 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: 48ecd2b42ba8d9d03f16c4b5f18c6d2aa2eedb61e3d9c47df9fc2c910d8aedd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d102fdc2afe329a19f5db292308a2592d137a35fa82f2ca7bb6219bc9a5a521c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-09T03:48:27Z",
    "title_canon_sha256": "1b91c15589be9dbb3cd268fa34ae5f375c8df3f92a1dcd63a177ebaa00e80b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10383",
    "kind": "arxiv",
    "version": 1
  }
}