Pith Number

pith:ABTX3ZLH

pith:2011:ABTX3ZLH7755US36CV4S7737MA

not attested not anchored not stored refs pending

Asymptotic Spectral Efficiency of the Uplink in Spatially Distributed Wireless Networks With Multi-Antenna Base Stations

Daniel W. Bliss, David H. Staelin, Siddhartan Govindasamy

arxiv:1102.1232 v3 · 2011-02-07 · 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{ABTX3ZLH7755US36CV4S7737MA}

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	2026-05-18T02:22:40.171897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00677de567fffbda4b7e15792fff7f6034ee2cf12744026f43faef334e785589

Aliases

arxiv: 1102.1232 · arxiv_version: 1102.1232v3 · doi: 10.48550/arxiv.1102.1232 · pith_short_12: ABTX3ZLH7755 · pith_short_16: ABTX3ZLH7755US36 · pith_short_8: ABTX3ZLH

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/ABTX3ZLH7755US36CV4S7737MA \
  | 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: 00677de567fffbda4b7e15792fff7f6034ee2cf12744026f43faef334e785589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b424a9d00e965229d50428b3237e496df0f8fa8e06ad367bf96449fc4bf3fc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-07T04:41:57Z",
    "title_canon_sha256": "ee1a751d4529882a4c9db6fb66edbb239c2c3b306160571294289339a79d0d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1232",
    "kind": "arxiv",
    "version": 3
  }
}