Pith Number

pith:CPLVRRVZ

pith:2013:CPLVRRVZ5DFUNMPJ3SXJNQJXII

not attested not anchored not stored refs pending

Coincidences of a shifted hexagonal lattice and the hexagonal packing

Evelyn D. Gabinete, Jeanine Concepcion H. Arias, Manuel Joseph C. Loquias

arxiv:1312.1058 v1 · 2013-12-04 · math.MG · 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{CPLVRRVZ5DFUNMPJ3SXJNQJXII}

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	2026-05-18T02:45:04.510611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d758c6b9e8cb46b1e9dcae96c1374238914e3a98bf774fa130eb7378272c2c

Aliases

arxiv: 1312.1058 · arxiv_version: 1312.1058v1 · doi: 10.48550/arxiv.1312.1058 · pith_short_12: CPLVRRVZ5DFU · pith_short_16: CPLVRRVZ5DFUNMPJ · pith_short_8: CPLVRRVZ

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/CPLVRRVZ5DFUNMPJ3SXJNQJXII \
  | 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: 13d758c6b9e8cb46b1e9dcae96c1374238914e3a98bf774fa130eb7378272c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009a666864e8c75dd87e4c588f442f4cdc2f5a9183eedbbb7bbc5be0ad0917e2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-04T08:56:34Z",
    "title_canon_sha256": "31b66ba16a681e136152e7cbed0d52119298fe8f92e647589fdc0662e28d4985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1058",
    "kind": "arxiv",
    "version": 1
  }
}