Pith Number

pith:GXAS6VQU

pith:2020:GXAS6VQUDVLWLV5RAPLF4ACWHJ

not attested not anchored not stored refs pending

A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints

Felix Harder

arxiv:2011.04474 v4 · 2020-11-09 · 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{GXAS6VQUDVLWLV5RAPLF4ACWHJ}

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	2026-07-05T06:23:31.291402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c12f56141d5765d7b103d65e00563a621cc1f205bc64938f62256653f4dc1a

Aliases

arxiv: 2011.04474 · arxiv_version: 2011.04474v4 · doi: 10.48550/arxiv.2011.04474 · pith_short_12: GXAS6VQUDVLW · pith_short_16: GXAS6VQUDVLWLV5R · pith_short_8: GXAS6VQU

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/GXAS6VQUDVLWLV5RAPLF4ACWHJ \
  | 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: 35c12f56141d5765d7b103d65e00563a621cc1f205bc64938f62256653f4dc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83bf0bfde53c72eadddbdcd330119758cf27cb64cb03fadf776880c5f8d03e44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-11-09T14:54:52Z",
    "title_canon_sha256": "9b36bc6f032be89418305a161bd3a858484cf79575d6bd37decd21ce97066450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04474",
    "kind": "arxiv",
    "version": 4
  }
}