Pith Number

pith:VI7W463C

pith:2016:VI7W463C6A2IWSH55LLQOK6OCS

not attested not anchored not stored refs pending

Small Extended Formulation for Knapsack Cover Inequalities from Monotone Circuits

Abbas Bazzi, Ola Svensson, Samuel Fiorini, Sangxia Huang

arxiv:1609.03737 v2 · 2016-09-13 · cs.DM · cs.CC · 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{VI7W463C6A2IWSH55LLQOK6OCS}

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	2026-05-18T00:57:39.354633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3f6e7b62f0348b48fdead7072bce1484b352aeb6ea30840e089cafbc98de9d

Aliases

arxiv: 1609.03737 · arxiv_version: 1609.03737v2 · doi: 10.48550/arxiv.1609.03737 · pith_short_12: VI7W463C6A2I · pith_short_16: VI7W463C6A2IWSH5 · pith_short_8: VI7W463C

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/VI7W463C6A2IWSH55LLQOK6OCS \
  | 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: aa3f6e7b62f0348b48fdead7072bce1484b352aeb6ea30840e089cafbc98de9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe0e89b2bf77cc398213b21316cfefcdc803e919b031e10f9981ca02d6a1a2e",
    "cross_cats_sorted": [
      "cs.CC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-09-13T09:20:56Z",
    "title_canon_sha256": "e8d645da6cf73f99088a7160ff93b6949cc63115d9d9289a5041bdec910e142d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03737",
    "kind": "arxiv",
    "version": 2
  }
}