Pith Number

pith:LQ6FPTZJ

pith:2012:LQ6FPTZJDI2HDPUNX5ZKZCAX2Z

not attested not anchored not stored refs pending

Octants are Cover-Decomposable into Many Coverings

Bal\'azs Keszegh, D\"om\"ot\"or P\'alv\"olgyi

arxiv:1207.0672 v1 · 2012-07-03 · math.CO · 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{LQ6FPTZJDI2HDPUNX5ZKZCAX2Z}

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	2026-05-18T03:51:57.516999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3c57cf291a3471be8dbf72ac8817d653f385136742cceb46cb7f798d8116d4

Aliases

arxiv: 1207.0672 · arxiv_version: 1207.0672v1 · doi: 10.48550/arxiv.1207.0672 · pith_short_12: LQ6FPTZJDI2H · pith_short_16: LQ6FPTZJDI2HDPUN · pith_short_8: LQ6FPTZJ

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/LQ6FPTZJDI2HDPUNX5ZKZCAX2Z \
  | 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: 5c3c57cf291a3471be8dbf72ac8817d653f385136742cceb46cb7f798d8116d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f6401b1095740596a9e68c136df4ec7b365f1eabe97f0518050246ed70fc28",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-03T13:37:01Z",
    "title_canon_sha256": "364f9817e9cfe55d095317402271e03c2610285a25d0c1756c9616e8eba3f588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0672",
    "kind": "arxiv",
    "version": 1
  }
}