Pith Number

pith:PZEP4IIC

pith:2017:PZEP4IIC2QV6RVCOOJYKMR62US

not attested not anchored not stored refs pending

A new approach for solving mixed integer DC programs using a continuous relaxation with no integrality gap and smoothing techniques

Takayuki Okuno, Yoshiko T. Ikebe

arxiv:1702.00553 v1 · 2017-02-02 · 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{PZEP4IIC2QV6RVCOOJYKMR62US}

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	2026-05-18T00:51:33.258703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e48fe2102d42be8d44e7270a647daa497dfc20c58e5d3953c226136ea5e4335

Aliases

arxiv: 1702.00553 · arxiv_version: 1702.00553v1 · doi: 10.48550/arxiv.1702.00553 · pith_short_12: PZEP4IIC2QV6 · pith_short_16: PZEP4IIC2QV6RVCO · pith_short_8: PZEP4IIC

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/PZEP4IIC2QV6RVCOOJYKMR62US \
  | 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: 7e48fe2102d42be8d44e7270a647daa497dfc20c58e5d3953c226136ea5e4335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "563646263427cacbd3ef3d76ab06fefdda0f3cb6618d96d439305e51e6b35a72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-02T06:40:55Z",
    "title_canon_sha256": "1e99539d21c1e57bb5abf613e494ce2e95a59e5fbbe069963a6254b8f229f759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00553",
    "kind": "arxiv",
    "version": 1
  }
}