Pith Number

pith:ZWLNXZ5V

pith:2012:ZWLNXZ5V4BDJPEUPJR2V3PJQPV

not attested not anchored not stored refs pending

Global solutions to a class of CEC benchmark constrained optimization problems

Xiaojun Zhou

arxiv:1210.3765 v1 · 2012-10-14 · 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{ZWLNXZ5V4BDJPEUPJR2V3PJQPV}

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	2026-05-18T01:17:53.585234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd96dbe7b5e04697928f4c755dbd307d7b9ae104d0508ac8866421473aba1e87

Aliases

arxiv: 1210.3765 · arxiv_version: 1210.3765v1 · doi: 10.48550/arxiv.1210.3765 · pith_short_12: ZWLNXZ5V4BDJ · pith_short_16: ZWLNXZ5V4BDJPEUP · pith_short_8: ZWLNXZ5V

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/ZWLNXZ5V4BDJPEUPJR2V3PJQPV \
  | 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: cd96dbe7b5e04697928f4c755dbd307d7b9ae104d0508ac8866421473aba1e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ef299253f9c07e05b01a5ae6a037e056e0e1e006aef42f2acdd225131c7f5b",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-14T06:51:50Z",
    "title_canon_sha256": "c30143fa6954dd4b17c75db074b8ee21de31a7d30b3dd512f3fc3a1d0c3ed7bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3765",
    "kind": "arxiv",
    "version": 1
  }
}