Pith Number

pith:KKGKWZHZ

pith:2015:KKGKWZHZT6D44WF7BAMFKJBUBA

not attested not anchored not stored refs pending

Fractional coverings, greedy coverings, and rectifier networks

Anna Lubiw, Dmitry Chistikov, Jeffrey Shallit, Szabolcs Iv\'an

arxiv:1509.07588 v2 · 2015-09-25 · cs.CC · cs.FL · 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{KKGKWZHZT6D44WF7BAMFKJBUBA}

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	2026-05-18T01:14:29.262621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528cab64f99f87ce58bf08185524340804b4df35a37fb2a56b65b63c34a7d1f2

Aliases

arxiv: 1509.07588 · arxiv_version: 1509.07588v2 · doi: 10.48550/arxiv.1509.07588 · pith_short_12: KKGKWZHZT6D4 · pith_short_16: KKGKWZHZT6D44WF7 · pith_short_8: KKGKWZHZ

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/KKGKWZHZT6D44WF7BAMFKJBUBA \
  | 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: 528cab64f99f87ce58bf08185524340804b4df35a37fb2a56b65b63c34a7d1f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05445cab5163059dee5f560669e932ff1602fe3a7b2ff7b675ed86c360c871d0",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-09-25T05:29:18Z",
    "title_canon_sha256": "6144955721876ad10b88627ea11911aca58c9725b7903b505caa33e4d4a16eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07588",
    "kind": "arxiv",
    "version": 2
  }
}