Pith Number

pith:WHLYPKCB

pith:2012:WHLYPKCBHTTYJ7J6B2H6YUB2GZ

not attested not anchored not stored refs pending

A short note on the kissing number of the lattice in Gaussian wiretap coding

Anne-Maria Ernvall-Hyt\"onen

arxiv:1209.3573 v1 · 2012-09-17 · cs.CR · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHLYPKCBHTTYJ7J6B2H6YUB2GZ}

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	2026-05-18T03:45:30.590726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d787a8413ce784fd3e0e8fec503a3672e55f02e3b46465fcb44882ab00b918

Aliases

arxiv: 1209.3573 · arxiv_version: 1209.3573v1 · doi: 10.48550/arxiv.1209.3573 · pith_short_12: WHLYPKCBHTTY · pith_short_16: WHLYPKCBHTTYJ7J6 · pith_short_8: WHLYPKCB

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/WHLYPKCBHTTYJ7J6B2H6YUB2GZ \
  | 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: b1d787a8413ce784fd3e0e8fec503a3672e55f02e3b46465fcb44882ab00b918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a420f3cd1394fc6312be4333e8711f557c1d3dc8d83e3efbf8c0e3510d02f1e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2012-09-17T08:17:29Z",
    "title_canon_sha256": "7b1d66c0a25a7f737c4fb284684e5077d390cc5c15188f728e6f51ee648524d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3573",
    "kind": "arxiv",
    "version": 1
  }
}