Pith Number

pith:3TYURGG3

pith:2009:3TYURGG3AP2AS75SJ5IC4WAM4V

not attested not anchored not stored refs pending

Sum Rates, Rate Allocation, and User Scheduling for Multi-User MIMO Vector Perturbation Precoding

Adeel Razi, Daniel J. Ryan, Iain B. Collings, Jinhong Yuan

arxiv:0911.1054 v1 · 2009-11-05 · 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{3TYURGG3AP2AS75SJ5IC4WAM4V}

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	2026-05-18T00:57:57.984795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf14898db03f4097fb24f502e580ce574ad177d575a07375b6646c48438665c

Aliases

arxiv: 0911.1054 · arxiv_version: 0911.1054v1 · doi: 10.48550/arxiv.0911.1054 · pith_short_12: 3TYURGG3AP2A · pith_short_16: 3TYURGG3AP2AS75S · pith_short_8: 3TYURGG3

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/3TYURGG3AP2AS75SJ5IC4WAM4V \
  | 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: dcf14898db03f4097fb24f502e580ce574ad177d575a07375b6646c48438665c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1faee4c68b41eaeffd67039e76eb06fdbbf333ce8d10dd491c4b9c270cfa13",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-11-05T15:20:32Z",
    "title_canon_sha256": "c47e88ca0aced3948e464370f29c70a4922775052101f349a7f45fcc14a216d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1054",
    "kind": "arxiv",
    "version": 1
  }
}