Pith Number

pith:3V62W2P3

pith:2019:3V62W2P3FZOMPTSVXL44JITJNJ

not attested not anchored not stored refs pending

A hybrid penalty method for a class of optimization problems with multiple rank constraints

Akiko Takeda, Ivan Markovsky, Tianxiang Liu, Ting Kei Pong

arxiv:1906.10396 v1 · 2019-06-25 · 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{3V62W2P3FZOMPTSVXL44JITJNJ}

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	2026-05-17T23:42:18.189659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7dab69fb2e5cc7ce55baf9c4a2696a6212d1684a26834e0f82f9d62c763d53

Aliases

arxiv: 1906.10396 · arxiv_version: 1906.10396v1 · doi: 10.48550/arxiv.1906.10396 · pith_short_12: 3V62W2P3FZOM · pith_short_16: 3V62W2P3FZOMPTSV · pith_short_8: 3V62W2P3

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/3V62W2P3FZOMPTSVXL44JITJNJ \
  | 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: dd7dab69fb2e5cc7ce55baf9c4a2696a6212d1684a26834e0f82f9d62c763d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d125680109363d02c74df4e0d0284435b43e9d23a536b55d5041b71dae04b822",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-25T09:08:39Z",
    "title_canon_sha256": "9852aa283d85c8dda2d549959f96a88ae10fd35d1bff1a0cc9e62b1de5179e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10396",
    "kind": "arxiv",
    "version": 1
  }
}