Pith Number

pith:C5KNEPMA

pith:2010:C5KNEPMAHAVA3P6LBKFEA2FA5R

not attested not anchored not stored refs pending

Vector Precoding for Gaussian MIMO Broadcast Channels: Impact of Replica Symmetry Breaking

Aris Moustakas, Benjamin Zaidel, Ralf Mueller, Rodrigo de Miguel

arxiv:1001.3790 v3 · 2010-01-21 · 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{C5KNEPMAHAVA3P6LBKFEA2FA5R}

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	2026-05-18T04:27:57.128045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1754d23d80382a0dbfcb0a8a4068a0ec5d2b8e89598f53ac1521e3711dfe8166

Aliases

arxiv: 1001.3790 · arxiv_version: 1001.3790v3 · doi: 10.48550/arxiv.1001.3790 · pith_short_12: C5KNEPMAHAVA · pith_short_16: C5KNEPMAHAVA3P6L · pith_short_8: C5KNEPMA

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/C5KNEPMAHAVA3P6LBKFEA2FA5R \
  | 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: 1754d23d80382a0dbfcb0a8a4068a0ec5d2b8e89598f53ac1521e3711dfe8166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "474b25a115d44c4489d2cfb9085db3cea6ca2eb866279df7dd3d682d8d5636c3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-21T12:35:08Z",
    "title_canon_sha256": "7bff2c0be62388aea00cdb43b652193617e43f85cf8f4030ba94f88f967f217c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3790",
    "kind": "arxiv",
    "version": 3
  }
}