Pith Number

pith:KA4HWRTP

pith:2014:KA4HWRTPHS32PTUAOGIXT4XY66

not attested not anchored not stored refs pending

Multi-Dimensional and Non-Uniform Constellation Optimization via the Special Orthogonal Group

Camilla Hollanti, David Karpuk

arxiv:1409.7244 v1 · 2014-09-25 · 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{KA4HWRTPHS32PTUAOGIXT4XY66}

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	2026-05-18T02:41:58.833034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50387b466f3cb7a7ce80719179f2f8f78a8a11fbfedbb065d2dfd8cf85a2d7c9

Aliases

arxiv: 1409.7244 · arxiv_version: 1409.7244v1 · doi: 10.48550/arxiv.1409.7244 · pith_short_12: KA4HWRTPHS32 · pith_short_16: KA4HWRTPHS32PTUA · pith_short_8: KA4HWRTP

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/KA4HWRTPHS32PTUAOGIXT4XY66 \
  | 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: 50387b466f3cb7a7ce80719179f2f8f78a8a11fbfedbb065d2dfd8cf85a2d7c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22373bbe62d4acd0f4d3c40f622fff86a9171b9a6db83591965b16b55fdcac9f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-25T12:55:51Z",
    "title_canon_sha256": "2a502b9ea409deb6d9a30fffee4aa28d6585dd4a1c4cade4d96252c4863703c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7244",
    "kind": "arxiv",
    "version": 1
  }
}