Pith Number

pith:MB4HEXUD

pith:2016:MB4HEXUD7XTDFB3VOZJAH64LRP

not attested not anchored not stored refs pending

An Algorithm for Solving Quadratic Optimization Problems with Nonlinear Equality Constraints

Hans Butler, Mircea Lazar, Tuan T. Nguyen

arxiv:1603.05117 v1 · 2016-03-16 · math.OC · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB4HEXUD7XTDFB3VOZJAH64LRP}

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	2026-05-18T01:18:58.007758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6078725e83fde6328775765203fb8b8bc1111964ba5f89615bd432a5684af420

Aliases

arxiv: 1603.05117 · arxiv_version: 1603.05117v1 · doi: 10.48550/arxiv.1603.05117 · pith_short_12: MB4HEXUD7XTD · pith_short_16: MB4HEXUD7XTDFB3V · pith_short_8: MB4HEXUD

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/MB4HEXUD7XTDFB3VOZJAH64LRP \
  | 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: 6078725e83fde6328775765203fb8b8bc1111964ba5f89615bd432a5684af420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f7f12caf36fe62c0390371e05aec646a33cb2ebe62aa487ed0c8f13062fbad",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-16T14:32:30Z",
    "title_canon_sha256": "4da1613f77d60cca973f48993c63a575d64e245c5b2bc27ec0441969115183d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05117",
    "kind": "arxiv",
    "version": 1
  }
}