Pith Number

pith:PWJ4GUUE

pith:2013:PWJ4GUUEGC2MV76DAKISYBOZDA

not attested not anchored not stored refs pending

The coincidence problem for shifted lattices and crystallographic point packings

Manuel Joseph C. Loquias, Peter Zeiner

arxiv:1301.3689 v2 · 2013-01-16 · 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{PWJ4GUUEGC2MV76DAKISYBOZDA}

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	2026-05-18T00:25:12.225168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d93c3528430b4caffc302912c05d91827c28a2e0bd7cca16604bd711931444d

Aliases

arxiv: 1301.3689 · arxiv_version: 1301.3689v2 · doi: 10.48550/arxiv.1301.3689 · pith_short_12: PWJ4GUUEGC2M · pith_short_16: PWJ4GUUEGC2MV76D · pith_short_8: PWJ4GUUE

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/PWJ4GUUEGC2MV76DAKISYBOZDA \
  | 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: 7d93c3528430b4caffc302912c05d91827c28a2e0bd7cca16604bd711931444d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8bd2acff828aad58f6323afa9b17b874e1cbdde5678170df8631f32733e7f26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-16T13:55:28Z",
    "title_canon_sha256": "982dfb38d4d58f5a83f96778ecfba46b448a3b3a76fcead0d2e611289279bd44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3689",
    "kind": "arxiv",
    "version": 2
  }
}