Pith Number

pith:K235MSWT

pith:2026:K235MSWTMYUTF5JQSW75XMG2BH

not attested not anchored not stored refs pending

Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials

Liguo Jiao, Luu Thi Thu Huyen, Nguyen Van Tuyen

arxiv:2606.01998 v1 · 2026-06-01 · 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{K235MSWTMYUTF5JQSW75XMG2BH}

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	2026-06-02T02:05:03.189144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b7d64ad3662932f53095bfdbb0da09e97248feddcaec6bba9a0afc1488f314

Aliases

arxiv: 2606.01998 · arxiv_version: 2606.01998v1 · doi: 10.48550/arxiv.2606.01998 · pith_short_12: K235MSWTMYUT · pith_short_16: K235MSWTMYUTF5JQ · pith_short_8: K235MSWT

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/K235MSWTMYUTF5JQSW75XMG2BH \
  | 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: 56b7d64ad3662932f53095bfdbb0da09e97248feddcaec6bba9a0afc1488f314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbbe66f5aad7548f4af6d866d083c7f6d63a97ecb946d8842c3f5fe0861878f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-01T09:55:02Z",
    "title_canon_sha256": "bb97ee2e6dafc12ef090a881254a99c6aeeca4bcfe4ecf53c9a229b48d5ed7ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01998",
    "kind": "arxiv",
    "version": 1
  }
}