Pith Number

pith:HSQUKY26

pith:2019:HSQUKY26ICCMMTCIFRXDIQUXP3

not attested not anchored not stored refs pending

New sharp necessary optimality conditions for mathematical programs with equilibrium constraints

Helmut Gfrerer, Jane J. Ye

arxiv:1906.09558 v1 · 2019-06-23 · 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{HSQUKY26ICCMMTCIFRXDIQUXP3}

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	2026-05-17T23:42:37.556402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca145635e4084c64c482c6e3442977edcfc0c1e74d514c0227dbaf918a074f4

Aliases

arxiv: 1906.09558 · arxiv_version: 1906.09558v1 · doi: 10.48550/arxiv.1906.09558 · pith_short_12: HSQUKY26ICCM · pith_short_16: HSQUKY26ICCMMTCI · pith_short_8: HSQUKY26

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/HSQUKY26ICCMMTCIFRXDIQUXP3 \
  | 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: 3ca145635e4084c64c482c6e3442977edcfc0c1e74d514c0227dbaf918a074f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8526f3d0f030853d9b19e830bafa7b468478d9e7147f7be7d500cbf3976316",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-23T06:01:14Z",
    "title_canon_sha256": "60afbabf1676cf2cf4ecdf399d751683da3f4c56a0155e3916678e6c7ea7ffa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09558",
    "kind": "arxiv",
    "version": 1
  }
}