Pith Number

pith:CWFZKBGN

pith:2017:CWFZKBGNXVBJZI6T4G64FYXVLH

not attested not anchored not stored refs pending

Dynamic programming algorithms, efficient solution of the LP-relaxation and approximation schemes for the Penalized Knapsack Problem

Federico Della Croce, Rosario Scatamacchia, Ulrich Pferschy

arxiv:1702.04211 v1 · 2017-02-14 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWFZKBGNXVBJZI6T4G64FYXVLH}

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	2026-05-18T00:50:48.797695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

158b9504cdbd429ca3d3e1bdc2e2f559e6cec0045e41cf532ece59a8ed4714db

Aliases

arxiv: 1702.04211 · arxiv_version: 1702.04211v1 · doi: 10.48550/arxiv.1702.04211 · pith_short_12: CWFZKBGNXVBJ · pith_short_16: CWFZKBGNXVBJZI6T · pith_short_8: CWFZKBGN

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/CWFZKBGNXVBJZI6T4G64FYXVLH \
  | 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: 158b9504cdbd429ca3d3e1bdc2e2f559e6cec0045e41cf532ece59a8ed4714db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ad46add989971b99e0d621c81332d6cc7efeef5d9522e9e79677168cdd838a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-02-14T14:00:01Z",
    "title_canon_sha256": "ab9ab08155a489a91a4a5baae2024351e87ed5d01dd7809b49ed6bc29d8974dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04211",
    "kind": "arxiv",
    "version": 1
  }
}