pith. sign in
Pith Number

pith:RKE4B3PI

pith:2013:RKE4B3PIO2UGYGPPDJB4A7FAIJ
not attested not anchored not stored refs pending

Motif Patterns and Coverings of Points with Unit Disks, Part I

Aaron Schneider, Elizabeth Manary, Jeremy F. Alm, Nicholas Hommowun

arxiv:1304.2088 v1 · 2013-04-08 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RKE4B3PIO2UGYGPPDJB4A7FAIJ}

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 2026-05-18T03:08:47.192131Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8a89c0ede876a86c19ef1a43c07ca04274d1b12b14f395edffc8a8869ef5ebc8

Aliases

arxiv: 1304.2088 · arxiv_version: 1304.2088v1 · doi: 10.48550/arxiv.1304.2088 · pith_short_12: RKE4B3PIO2UG · pith_short_16: RKE4B3PIO2UGYGPP · pith_short_8: RKE4B3PI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RKE4B3PIO2UGYGPPDJB4A7FAIJ \
  | 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: 8a89c0ede876a86c19ef1a43c07ca04274d1b12b14f395edffc8a8869ef5ebc8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "655af8813fc60fe1aa09da1323abd874d458df7065c405d8b176bed07816db39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-08T02:42:51Z",
    "title_canon_sha256": "1ce91520ae1a94aaacb8d7506ed0bc7c6577d424198ccec49d90a2ce7e7ef201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2088",
    "kind": "arxiv",
    "version": 1
  }
}