Pith Number

pith:QBSRG7JX

pith:2026:QBSRG7JXV5POYQ4U4QL7OYLFD2

not attested not anchored not stored refs pending

Uniqueness and stability of Lagrange multipliers and associated qualification conditions

Gerd Wachsmuth, Patrick Mehlitz

arxiv:2606.06067 v1 · 2026-06-04 · 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{QBSRG7JXV5POYQ4U4QL7OYLFD2}

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	2026-06-05T01:15:31.971399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8065137d37af5eec4394e417f761651ea2aa100c0f27739a8b2ee0d84f2bfa59

Aliases

arxiv: 2606.06067 · arxiv_version: 2606.06067v1 · doi: 10.48550/arxiv.2606.06067 · pith_short_12: QBSRG7JXV5PO · pith_short_16: QBSRG7JXV5POYQ4U · pith_short_8: QBSRG7JX

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/QBSRG7JXV5POYQ4U4QL7OYLFD2 \
  | 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: 8065137d37af5eec4394e417f761651ea2aa100c0f27739a8b2ee0d84f2bfa59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cdb5b9907002db46ee83f589e4fb6aacd199fb9fd9fa350be6b52022efe5c7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-04T12:09:19Z",
    "title_canon_sha256": "ff2a759652f864d6e24aac57facd0ed0f6eab2b5905db0b8d51a9e8736abd2a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06067",
    "kind": "arxiv",
    "version": 1
  }
}