Pith Number

pith:7JQZ2M3F

pith:2014:7JQZ2M3FMNMGWMQRXHW57QARNF

not attested not anchored not stored refs pending

Division algebra codes achieve MIMO block fading channel capacity within a constant gap

Laura Luzzi, Roope Vehkalahti

arxiv:1412.7650 v2 · 2014-12-24 · 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{7JQZ2M3FMNMGWMQRXHW57QARNF}

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	2026-05-18T02:28:39.723898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa619d336563586b3211b9eddfc011697414a16e7a6f9e0e28be1e1c4b2ddff7

Aliases

arxiv: 1412.7650 · arxiv_version: 1412.7650v2 · doi: 10.48550/arxiv.1412.7650 · pith_short_12: 7JQZ2M3FMNMG · pith_short_16: 7JQZ2M3FMNMGWMQR · pith_short_8: 7JQZ2M3F

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/7JQZ2M3FMNMGWMQRXHW57QARNF \
  | 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: fa619d336563586b3211b9eddfc011697414a16e7a6f9e0e28be1e1c4b2ddff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ba9a52dcded2c567124ae9cee8590f49cf8f6bdfb3d6cc6deff84ae8819d00",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-12-24T12:21:05Z",
    "title_canon_sha256": "4d608ca7b75f42223ebfd2ce4d9d9754a82980abdb80590ed352659b2cbc47d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7650",
    "kind": "arxiv",
    "version": 2
  }
}