Pith Number

pith:4KVSMJ3F

pith:2018:4KVSMJ3FTRKLPDR6YNBMWPMDN6

not attested not anchored not stored refs pending

Strong Metric (Sub)regularity of KKT Mappings for Piecewise Linear-Quadratic Convex-Composite Optimization

Abraham Engle, James V. Burke

arxiv:1805.01073 v2 · 2018-05-03 · 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{4KVSMJ3FTRKLPDR6YNBMWPMDN6}

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	2026-05-18T00:13:04.133875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ab2627659c54b78e3ec342cb3d836f82dbeea6f13be4860aec0dcd89e4521d

Aliases

arxiv: 1805.01073 · arxiv_version: 1805.01073v2 · doi: 10.48550/arxiv.1805.01073 · pith_short_12: 4KVSMJ3FTRKL · pith_short_16: 4KVSMJ3FTRKLPDR6 · pith_short_8: 4KVSMJ3F

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/4KVSMJ3FTRKLPDR6YNBMWPMDN6 \
  | 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: e2ab2627659c54b78e3ec342cb3d836f82dbeea6f13be4860aec0dcd89e4521d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782d72b03c283119fdc137dcb20fbc99f580dd47ed1bd7216970ad87b67f070e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-03T00:56:38Z",
    "title_canon_sha256": "c6e1f42f63082e7a149cd2508afede9748f45b789d89c1ca8051973c19e0fbf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01073",
    "kind": "arxiv",
    "version": 2
  }
}