Pith Number

pith:VKN52O3X

pith:2016:VKN52O3XNKAWCTWY3N3ZLWNJMP

not attested not anchored not stored refs pending

Analysis of Sparse Cutting-planes for Sparse MILPs with Applications to Stochastic MILPs

Marco Molinaro, Qianyi Wang, Santanu S. Dey

arxiv:1601.00198 v1 · 2016-01-02 · 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{VKN52O3XNKAWCTWY3N3ZLWNJMP}

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	2026-05-18T01:23:28.243308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9bdd3b776a81614ed8db7795d9a963d9ee566ac9fa755bb2d8eda21e6de98f

Aliases

arxiv: 1601.00198 · arxiv_version: 1601.00198v1 · doi: 10.48550/arxiv.1601.00198 · pith_short_12: VKN52O3XNKAW · pith_short_16: VKN52O3XNKAWCTWY · pith_short_8: VKN52O3X

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/VKN52O3XNKAWCTWY3N3ZLWNJMP \
  | 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: aa9bdd3b776a81614ed8db7795d9a963d9ee566ac9fa755bb2d8eda21e6de98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b1ae5e6ef094bcea120ea618e464130607ec4284f598cb59e19931ecf18f50e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-02T17:47:48Z",
    "title_canon_sha256": "573ed72744806161d8d1d5157c7b4f7239ce9c2e7c2fe8559c8840eaa24e4216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00198",
    "kind": "arxiv",
    "version": 1
  }
}