Pith Number

pith:3XTXCFK6

pith:2014:3XTXCFK6OBN3CHLJXGANXGW4WJ

not attested not anchored not stored refs pending

Bounding Duality Gap for Separable Problems with Linear Constraints

Madeleine Udell, Stephen Boyd

arxiv:1410.4158 v2 · 2014-10-15 · 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{3XTXCFK6OBN3CHLJXGANXGW4WJ}

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	2026-05-18T01:23:08.788609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde771155e705bb11d69b980db9adcb2666b9e76df20ab26e3f1f79f46b277a8

Aliases

arxiv: 1410.4158 · arxiv_version: 1410.4158v2 · doi: 10.48550/arxiv.1410.4158 · pith_short_12: 3XTXCFK6OBN3 · pith_short_16: 3XTXCFK6OBN3CHLJ · pith_short_8: 3XTXCFK6

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/3XTXCFK6OBN3CHLJXGANXGW4WJ \
  | 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: dde771155e705bb11d69b980db9adcb2666b9e76df20ab26e3f1f79f46b277a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a6e26dd60795f4354c49f4102848c26b2678865e2cf6708d174c1f5357e97e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-10-15T18:28:21Z",
    "title_canon_sha256": "0281c9d512ea97587d0b35a1c35666794974086b2ba8aae2addcb62d11037d69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4158",
    "kind": "arxiv",
    "version": 2
  }
}