Pith Number

pith:5ZR4K23A

pith:2017:5ZR4K23AVVVENKYNGTZ5U37CZV

not attested not anchored not stored refs pending

A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions II: Extended Exactness

M.V. Dolgopolik

arxiv:1710.01961 v4 · 2017-10-05 · 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{5ZR4K23AVVVENKYNGTZ5U37CZV}

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	2026-05-18T00:00:09.095149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee63c56b60ad6a46ab0d34f3da6fe2cd6980ae21e47169152b386ec3930c8078

Aliases

arxiv: 1710.01961 · arxiv_version: 1710.01961v4 · doi: 10.48550/arxiv.1710.01961 · pith_short_12: 5ZR4K23AVVVE · pith_short_16: 5ZR4K23AVVVENKYN · pith_short_8: 5ZR4K23A

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/5ZR4K23AVVVENKYNGTZ5U37CZV \
  | 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: ee63c56b60ad6a46ab0d34f3da6fe2cd6980ae21e47169152b386ec3930c8078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5e89eceb9d4fe4a1a33a5ed3a8177d86b9d3da98047a5145a1e9c8a1dd91e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-05T10:59:10Z",
    "title_canon_sha256": "c8c361d8e61d425a1356f92bcdbb8cd47f17ec9eea5718d5d462eb79184f2170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01961",
    "kind": "arxiv",
    "version": 4
  }
}