pith. sign in
Pith Number

pith:7TNPHGZU

pith:2011:7TNPHGZUUKN3YMVM5N2NJYGKGL
not attested not anchored not stored refs pending

Octants are Cover Decomposable

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

arxiv:1101.3773 v2 · 2011-01-19 · math.CO · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7TNPHGZUUKN3YMVM5N2NJYGKGL}

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 2026-05-18T02:22:51.238026Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fcdaf39b34a29bbc32aceb74d4e0ca32fc095a69fdad156ed7615e2b94ad64d4

Aliases

arxiv: 1101.3773 · arxiv_version: 1101.3773v2 · doi: 10.48550/arxiv.1101.3773 · pith_short_12: 7TNPHGZUUKN3 · pith_short_16: 7TNPHGZUUKN3YMVM · pith_short_8: 7TNPHGZU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7TNPHGZUUKN3YMVM5N2NJYGKGL \
  | 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: fcdaf39b34a29bbc32aceb74d4e0ca32fc095a69fdad156ed7615e2b94ad64d4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "365f84dd3602eb126cc09b7cbe290c57799f4f4049842abd290a52e85cb98e4b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-19T20:55:04Z",
    "title_canon_sha256": "b8ef2614a3ece076b94e5b6681560e7d537074c6f5fffa1e31c57d99bef0aa32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3773",
    "kind": "arxiv",
    "version": 2
  }
}