Pith Number

pith:PUY4SRN7

pith:2015:PUY4SRN7TQWBDUL7S3VCNRG723

not attested not anchored not stored refs pending

On the existence of compact {\epsilon}-approximated formulations for knapsack in the original space

Laura Sanit\`a, Yuri Faenza

arxiv:1503.04717 v1 · 2015-03-16 · math.OC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUY4SRN7TQWBDUL7S3VCNRG723}

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	2026-05-18T02:22:21.523566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d31c945bf9c2c11d17f96ea26c4dfd6e0b58ab2a3186fcedefc3478a46fc607

Aliases

arxiv: 1503.04717 · arxiv_version: 1503.04717v1 · doi: 10.48550/arxiv.1503.04717 · pith_short_12: PUY4SRN7TQWB · pith_short_16: PUY4SRN7TQWBDUL7 · pith_short_8: PUY4SRN7

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/PUY4SRN7TQWBDUL7S3VCNRG723 \
  | 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: 7d31c945bf9c2c11d17f96ea26c4dfd6e0b58ab2a3186fcedefc3478a46fc607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0284186821e77b04053586a5cbc76e6b5021eb269fb13aea8b26607c621617",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-16T16:30:34Z",
    "title_canon_sha256": "16849ae8ac90f0eb5e8e8b1b150b56c3eba64a7fd7c784c4f9f06571c089e3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04717",
    "kind": "arxiv",
    "version": 1
  }
}