Pith Number

pith:7RWYJSSE

pith:2019:7RWYJSSEFUQRJMQWAE23M2EJRK

not attested not anchored not stored refs pending

Criticality of Lagrange Multipliers in Extended Nonlinear Optimization

Boris Mordukhovich, Hong Do, M. Ebrahim Sarabi

arxiv:1901.01469 v1 · 2019-01-05 · 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{7RWYJSSEFUQRJMQWAE23M2EJRK}

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	2026-05-17T23:56:51.955727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc6d84ca442d2114b2160135b668898abd4b2f685fcaa317df981c50f1622b2d

Aliases

arxiv: 1901.01469 · arxiv_version: 1901.01469v1 · doi: 10.48550/arxiv.1901.01469 · pith_short_12: 7RWYJSSEFUQR · pith_short_16: 7RWYJSSEFUQRJMQW · pith_short_8: 7RWYJSSE

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/7RWYJSSEFUQRJMQWAE23M2EJRK \
  | 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: fc6d84ca442d2114b2160135b668898abd4b2f685fcaa317df981c50f1622b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526a539b7a545a197c659cc0708a07b0314c71d76605421d38685e39a581a054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-05T21:08:08Z",
    "title_canon_sha256": "a4e454b5d7962f3f7ea297fc3b03711a3e3f3fdd6a18651f935a481776358652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01469",
    "kind": "arxiv",
    "version": 1
  }
}