Pith Number

pith:ANROWLAE

pith:2018:ANROWLAEYRBZIAMU3PXYYZKOHA

not attested not anchored not stored refs pending

Lagrange Multiplier Local Necessary and Global Sufficiency Criteria for Some Non-Convex Programming Problems

B. Muraleetharan, K. Thirulogasanthar, S. Selvarajan, S. Srisatkunarajah

arxiv:1804.02270 v1 · 2018-03-19 · 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{ANROWLAEYRBZIAMU3PXYYZKOHA}

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	2026-05-18T00:19:05.368034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0362eb2c04c443940194dbef8c654e382e338b37869146490c5b30b38947908d

Aliases

arxiv: 1804.02270 · arxiv_version: 1804.02270v1 · doi: 10.48550/arxiv.1804.02270 · pith_short_12: ANROWLAEYRBZ · pith_short_16: ANROWLAEYRBZIAMU · pith_short_8: ANROWLAE

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/ANROWLAEYRBZIAMU3PXYYZKOHA \
  | 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: 0362eb2c04c443940194dbef8c654e382e338b37869146490c5b30b38947908d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "051f602df14e30211f23e0c721ad75a4ed18674097f1150b4026f0e3252a803b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-19T07:43:45Z",
    "title_canon_sha256": "21ca64d9e3b7252ad30b0314b7d83c89912dc2a876ba40fe59388bff1c7d7d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02270",
    "kind": "arxiv",
    "version": 1
  }
}