Pith Number

pith:GCU6KV7R

pith:2013:GCU6KV7RL3HPPBBK6IKGPXDN5S

not attested not anchored not stored refs pending

Rotating Non-Uniform and High-Dimensional Constellations Using Geodesic Flow on Lie Groups

Camilla Hollanti, David A. Karpuk

arxiv:1309.5247 v1 · 2013-09-20 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCU6KV7RL3HPPBBK6IKGPXDN5S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:12:47.164493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a9e557f15ecef7842af21467dc6dec9063368ac4c4331e16ea46ae5cfd099d

Aliases

arxiv: 1309.5247 · arxiv_version: 1309.5247v1 · doi: 10.48550/arxiv.1309.5247 · pith_short_12: GCU6KV7RL3HP · pith_short_16: GCU6KV7RL3HPPBBK · pith_short_8: GCU6KV7R

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/GCU6KV7RL3HPPBBK6IKGPXDN5S \
  | 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: 30a9e557f15ecef7842af21467dc6dec9063368ac4c4331e16ea46ae5cfd099d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17998c8b2d3bce74cf51e37521bb683085716a8854f97dfb07db2b2e77226bb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-20T12:19:48Z",
    "title_canon_sha256": "54fad9f5ab529a0a1dddfd17b524d314b246dfe7f4167e82a7427be80fac0e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5247",
    "kind": "arxiv",
    "version": 1
  }
}