Pith Number

pith:2WNL2UFZ

pith:2015:2WNL2UFZTPU4CJUEVOV63MITA2

not attested not anchored not stored refs pending

On Cube Tilings of Tori and Classification of Perfect Codes in the Maximum Metric

Claudio Qureshi, Sueli I. R. Costa

arxiv:1512.05908 v2 · 2015-12-18 · 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{2WNL2UFZTPU4CJUEVOV63MITA2}

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	2026-05-18T01:22:53.674912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59abd50b99be9c12684ababedb1130694e66e99e465bb1ad71f5123affd05d1

Aliases

arxiv: 1512.05908 · arxiv_version: 1512.05908v2 · doi: 10.48550/arxiv.1512.05908 · pith_short_12: 2WNL2UFZTPU4 · pith_short_16: 2WNL2UFZTPU4CJUE · pith_short_8: 2WNL2UFZ

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/2WNL2UFZTPU4CJUEVOV63MITA2 \
  | 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: d59abd50b99be9c12684ababedb1130694e66e99e465bb1ad71f5123affd05d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc48b4fcb04c565ed16b1d5d8b4455c2f8d46cb53bb82e9bef3256eb8422fc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-18T11:41:33Z",
    "title_canon_sha256": "71bc230890abc4b334d14c45995fdd8f9919dda34bd8aa3f82f37b22b4dc44da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05908",
    "kind": "arxiv",
    "version": 2
  }
}