Pith. sign in
Pith Number

pith:JADOHYKC

pith:2025:JADOHYKCILLH7L4KLK6CU7QDXM
not attested not anchored not stored refs pending

Covering half-grids with lines and planes

Anurag Bishnoi, Shantanu Nene

arxiv:2501.11156 v3 · 2025-01-19 · math.CO · cs.CG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JADOHYKCILLH7L4KLK6CU7QDXM}

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 2026-06-12T01:09:06.855683Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4806e3e14242d67faf8a5abc2a7e03bb0e0681a422d88103a11e86ced64eb78b

Aliases

arxiv: 2501.11156 · arxiv_version: 2501.11156v3 · doi: 10.48550/arxiv.2501.11156 · pith_short_12: JADOHYKCILLH · pith_short_16: JADOHYKCILLH7L4K · pith_short_8: JADOHYKC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JADOHYKCILLH7L4KLK6CU7QDXM \
  | 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: 4806e3e14242d67faf8a5abc2a7e03bb0e0681a422d88103a11e86ced64eb78b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "79620f89bf0aa146ee53822a9381d1d9ca7920beb0477a87ead3fc724722f500",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-19T20:01:04Z",
    "title_canon_sha256": "77f4e6bcc2595afb92a45b1cc86e1c645deb25cb6775ffd79f20f684157f1131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11156",
    "kind": "arxiv",
    "version": 3
  }
}