Pith Number

pith:YMZGTBK7

pith:2026:YMZGTBK7UFVJU623NICGB6IX6J

not attested not anchored not stored refs pending

Convergence of the Safeguarded Augmented Lagrangian Method under the Polyak-Lojasiewicz constraint qualification for Constrained Composite Optimization

Christian Kanzow, Jannis Kr\"uger

arxiv:2606.25567 v1 · 2026-06-24 · 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{YMZGTBK7UFVJU623NICGB6IX6J}

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	2026-06-25T01:18:08.992966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33269855fa16a9a7b5b6a0460f917f245f9fc786abca79c8e4bf2e24a7e4f71

Aliases

arxiv: 2606.25567 · arxiv_version: 2606.25567v1 · doi: 10.48550/arxiv.2606.25567 · pith_short_12: YMZGTBK7UFVJ · pith_short_16: YMZGTBK7UFVJU623 · pith_short_8: YMZGTBK7

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/YMZGTBK7UFVJU623NICGB6IX6J \
  | 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: c33269855fa16a9a7b5b6a0460f917f245f9fc786abca79c8e4bf2e24a7e4f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60187b47e365c9a67cd2d37b6c67c190940cc7aef3c80ac41ec49b26c49f2d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-24T08:44:22Z",
    "title_canon_sha256": "4a86e529b6f9741eade31d32e1ba3734a664221e938927a83a3ac9ecbe625695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25567",
    "kind": "arxiv",
    "version": 1
  }
}