Pith Number

pith:PODDIEVG

pith:2016:PODDIEVGW7KIRQE2ZJLVYVXU6Q

not attested not anchored not stored refs pending

Canonical dual method for mixed integer fourth-order polynomial minimization problems with fixed cost terms

David Y Gao, Zhong Jin

arxiv:1607.04748 v1 · 2016-07-16 · 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{PODDIEVGW7KIRQE2ZJLVYVXU6Q}

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	2026-05-18T01:10:56.814141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b863412a6b7d488c09aca575c56f4f4031d97718924fe8a9a67eba907615684

Aliases

arxiv: 1607.04748 · arxiv_version: 1607.04748v1 · doi: 10.48550/arxiv.1607.04748 · pith_short_12: PODDIEVGW7KI · pith_short_16: PODDIEVGW7KIRQE2 · pith_short_8: PODDIEVG

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/PODDIEVGW7KIRQE2ZJLVYVXU6Q \
  | 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: 7b863412a6b7d488c09aca575c56f4f4031d97718924fe8a9a67eba907615684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5658c8c611048e3eeab3b01075e49595346e358ba7ed7adf5581a9af4540a893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-16T15:17:14Z",
    "title_canon_sha256": "952b13f86632d2a9bc79b9fddf0e872b7cf8040bb94c09db644c32176a93cc2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04748",
    "kind": "arxiv",
    "version": 1
  }
}