Pith Number

pith:BQSE3XOE

pith:2015:BQSE3XOE45GUFUBDADVJFVTSHT

not attested not anchored not stored refs pending

Almost universal codes achieving ergodic MIMO capacity within a constant gap

Laura Luzzi, Roope Vehkalahti

arxiv:1507.07395 v1 · 2015-07-27 · cs.IT · math.IT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQSE3XOE45GUFUBDADVJFVTSHT}

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	2026-05-18T01:36:16.471788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c244dddc4e74d42d02300ea92d6723cd94cd9c3c428f2ef25bd775812273ef5

Aliases

arxiv: 1507.07395 · arxiv_version: 1507.07395v1 · doi: 10.48550/arxiv.1507.07395 · pith_short_12: BQSE3XOE45GU · pith_short_16: BQSE3XOE45GUFUBD · pith_short_8: BQSE3XOE

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/BQSE3XOE45GUFUBDADVJFVTSHT \
  | 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: 0c244dddc4e74d42d02300ea92d6723cd94cd9c3c428f2ef25bd775812273ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42457e39869a430204d2947cbc7f9f99344f8c831d06493fb5e9ce56e010007",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-27T13:20:51Z",
    "title_canon_sha256": "15d515ed7279712a66b392ecf08995c54ac37c42d4a3d3913f32697f384f0be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07395",
    "kind": "arxiv",
    "version": 1
  }
}