Pith Number

pith:EGJQWIL2

pith:2010:EGJQWIL2QBRWCTQY5ZG7LQJWNF

not attested not anchored not stored refs pending

Bit Allocation Laws for Multi-Antenna Channel Feedback Quantization: Multi-User Case

Behrouz Khoshnevis, Wei Yu

arxiv:1003.2259 v3 · 2010-03-11 · 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{EGJQWIL2QBRWCTQY5ZG7LQJWNF}

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	2026-05-18T04:05:46.064230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21930b217a8063614e18ee4df5c1366965280d19ff7120bc5e6d61b6a7e4edc9

Aliases

arxiv: 1003.2259 · arxiv_version: 1003.2259v3 · doi: 10.48550/arxiv.1003.2259 · pith_short_12: EGJQWIL2QBRW · pith_short_16: EGJQWIL2QBRWCTQY · pith_short_8: EGJQWIL2

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/EGJQWIL2QBRWCTQY5ZG7LQJWNF \
  | 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: 21930b217a8063614e18ee4df5c1366965280d19ff7120bc5e6d61b6a7e4edc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe101bcddfeddc64f2f81e62cdae260f14f33e685e27c37ceff36ed92fe9aba6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-03-11T05:35:18Z",
    "title_canon_sha256": "7a7c08d6134014a23220527646abbc15413a4f139d3f4f6f3434fa04803d9fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2259",
    "kind": "arxiv",
    "version": 3
  }
}