Pith Number

pith:KY7QCRXA

pith:2014:KY7QCRXAPJQIABQ26QKUKCCWAE

not attested not anchored not stored refs pending

Biclique coverings, rectifier networks and the cost of $\varepsilon$-removal

\'Ad\'am D\'aniel Lelkes, Bal\'azs Sz\"or\'enyi, Gy\"orgy Tur\'an, Judit Nagy-Gy\"orgy, Szabolcs Iv\'an

arxiv:1406.0017 v1 · 2014-05-30 · cs.FL · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KY7QCRXAPJQIABQ26QKUKCCWAE}

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	2026-05-18T02:50:42.054824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563f0146e07a6080061af415450856013ac0006282b5f7354d698917573a49e3

Aliases

arxiv: 1406.0017 · arxiv_version: 1406.0017v1 · doi: 10.48550/arxiv.1406.0017 · pith_short_12: KY7QCRXAPJQI · pith_short_16: KY7QCRXAPJQIABQ2 · pith_short_8: KY7QCRXA

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/KY7QCRXAPJQIABQ26QKUKCCWAE \
  | 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: 563f0146e07a6080061af415450856013ac0006282b5f7354d698917573a49e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072faaa7d12cbdacbbcbd165cc208ec2d6fe9e2e458d40826ddb8801bdaf29bd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2014-05-30T21:17:39Z",
    "title_canon_sha256": "bec4cfadf0378f151d1b6c14bdafe0c15c500d2e1dcd6a8655ac7ece4e0b93f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0017",
    "kind": "arxiv",
    "version": 1
  }
}