Pith Number

pith:5IVUC5FW

pith:2014:5IVUC5FWABGY34D62EWLMVDXTF

not attested not anchored not stored refs pending

A-priori Upper Bounds for the Set Covering Problem

Aldo Procacci, Benedetto Scoppola, Giovanni Felici, Sokol Ndreca

arxiv:1407.4520 v1 · 2014-07-16 · 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{5IVUC5FWABGY34D62EWLMVDXTF}

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	2026-05-18T02:47:23.778369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2b4174b6004d8df07ed12cb6547799670af3e351fbe527347a9e2ec13050b3

Aliases

arxiv: 1407.4520 · arxiv_version: 1407.4520v1 · doi: 10.48550/arxiv.1407.4520 · pith_short_12: 5IVUC5FWABGY · pith_short_16: 5IVUC5FWABGY34D6 · pith_short_8: 5IVUC5FW

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/5IVUC5FWABGY34D62EWLMVDXTF \
  | 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: ea2b4174b6004d8df07ed12cb6547799670af3e351fbe527347a9e2ec13050b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aac04dca5538ad9ace78006dfd4a45bf3520b301f690a8c3363a394732de5eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-16T22:42:48Z",
    "title_canon_sha256": "9d760225baa8fc2d85b0b43cd497434a40173c5d871ffa74990cab7572f2c531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4520",
    "kind": "arxiv",
    "version": 1
  }
}