Pith Number

pith:4LTDQJPX

pith:2016:4LTDQJPXGDZLNKSC53SCIDNL7C

not attested not anchored not stored refs pending

On modeling and global solutions for d.c. optimization problems by canonical duality theory

David Y Gao, Zhong Jin

arxiv:1607.03426 v1 · 2016-07-12 · 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{4LTDQJPXGDZLNKSC53SCIDNL7C}

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	2026-05-18T01:11:09.013350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e63825f730f2b6aa42eee4240dabf8b821faed3a7ee561a7269f92423f2a44

Aliases

arxiv: 1607.03426 · arxiv_version: 1607.03426v1 · doi: 10.48550/arxiv.1607.03426 · pith_short_12: 4LTDQJPXGDZL · pith_short_16: 4LTDQJPXGDZLNKSC · pith_short_8: 4LTDQJPX

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/4LTDQJPXGDZLNKSC53SCIDNL7C \
  | 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: e2e63825f730f2b6aa42eee4240dabf8b821faed3a7ee561a7269f92423f2a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a857a50214d192dbb6619780a6a394dd1a287b59411b52ccdb89f5d0295f1c1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-12T16:10:36Z",
    "title_canon_sha256": "c9e2185fa4631676d0f251dd721f8d1bdbe5996e2aa220a253c638ad216cf6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03426",
    "kind": "arxiv",
    "version": 1
  }
}