Pith Number

pith:S26DX3X7

pith:2025:S26DX3X7TZGMAJ7EO3TLBN4NST

not attested not anchored not stored refs pending

A Lasry-Lions envelope approach for mathematical programs with complementarity constraints

Andreas Themelis, Ivan Markovsky, Jia Wang, Panagiotis Patrinos

arxiv:2507.04694 v2 · 2025-07-07 · 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{S26DX3X7TZGMAJ7EO3TLBN4NST}

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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.

Cited by

1 paper in Pith

CCOpt: an Open-Source Solver for Large-Scale Mathematical Programs with Complementarity Constraints

Receipt and verification

First computed	2026-06-10T01:08:28.463824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96bc3beeff9e4cc027e476e6b0b78d94f3e284855b786fd4802573cf0c40714b

Aliases

arxiv: 2507.04694 · arxiv_version: 2507.04694v2 · doi: 10.48550/arxiv.2507.04694 · pith_short_12: S26DX3X7TZGM · pith_short_16: S26DX3X7TZGMAJ7E · pith_short_8: S26DX3X7

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/S26DX3X7TZGMAJ7EO3TLBN4NST \
  | 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: 96bc3beeff9e4cc027e476e6b0b78d94f3e284855b786fd4802573cf0c40714b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f831ab2b77383630cd11299d611d46fea3c53b822b88f120e4c7d5a19da5f147",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-07T06:23:01Z",
    "title_canon_sha256": "ff94ca2339580403d5d69045c3839cb452f4c42948231386f32b7f118de08817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04694",
    "kind": "arxiv",
    "version": 2
  }
}