Pith Number

pith:MQPGIFID

pith:2016:MQPGIFIDTUAITMHNN25B5NBNSR

not attested not anchored not stored refs pending

Remarks on Lagrange Multiplier Rules in Set Valued Optimization

Carola Schrage

arxiv:1612.00255 v1 · 2016-12-01 · 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{MQPGIFIDTUAITMHNN25B5NBNSR}

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	2026-05-18T00:56:05.616139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641e6415039d0089b0ed6eba1eb42d945fe3f54daf67e3e7f22184e143106583

Aliases

arxiv: 1612.00255 · arxiv_version: 1612.00255v1 · doi: 10.48550/arxiv.1612.00255 · pith_short_12: MQPGIFIDTUAI · pith_short_16: MQPGIFIDTUAITMHN · pith_short_8: MQPGIFID

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/MQPGIFIDTUAITMHNN25B5NBNSR \
  | 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: 641e6415039d0089b0ed6eba1eb42d945fe3f54daf67e3e7f22184e143106583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3b465d495b28aa6437b794a1a313db866d9a05630059f177a6b524f9322e67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-01T14:08:35Z",
    "title_canon_sha256": "910fc1b79804c22bf8f597c0095f919a16cdc41da0b0ad6fa8a9ea31ade3990e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00255",
    "kind": "arxiv",
    "version": 1
  }
}