Pith Number

pith:GG55S7JI

pith:2016:GG55S7JIYCVQFGXT3XQTDL6SHV

not attested not anchored not stored refs pending

Tightening McCormick Relaxations for Nonlinear Programs via Dynamic Multivariate Partitioning

Emre Yamangil, Harsha Nagarajan, Mowen Lu, Russell Bent

arxiv:1606.05806 v1 · 2016-06-18 · cs.SY · 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{GG55S7JIYCVQFGXT3XQTDL6SHV}

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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	2026-05-18T01:12:16.000499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bbd97d28c0ab029af3dde131afd23d60768b1a5cb30c74d07fca01261af6b1

Aliases

arxiv: 1606.05806 · arxiv_version: 1606.05806v1 · doi: 10.48550/arxiv.1606.05806 · pith_short_12: GG55S7JIYCVQ · pith_short_16: GG55S7JIYCVQFGXT · pith_short_8: GG55S7JI

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/GG55S7JIYCVQFGXT3XQTDL6SHV \
  | 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: 31bbd97d28c0ab029af3dde131afd23d60768b1a5cb30c74d07fca01261af6b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916ea830c1a94eb6039338fba0fd8b6d8f73b188fb04e7ffc6a83932f81ebea7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2016-06-18T20:49:09Z",
    "title_canon_sha256": "fbe56c6065af2f4b90b617ebd469c39e19e2d06fafb4bc1a0ef69186e88f80bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05806",
    "kind": "arxiv",
    "version": 1
  }
}