Pith Number

pith:X4FIHIQV

pith:2010:X4FIHIQVXKFWWJOJ523BV2SJYC

not attested not anchored not stored refs pending

Distributed Beamforming in Wireless Multiuser Relay-Interference Networks with Quantized Feedback

Erdem Koyuncu, Hamid Jafarkhani

arxiv:1007.5514 v1 · 2010-07-30 · 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{X4FIHIQVXKFWWJOJ523BV2SJYC}

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	2026-05-18T04:42:45.076009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0a83a215ba8b6b25c9eeb61aea49c0855f86a05f824248f0a89b63cd22ce11

Aliases

arxiv: 1007.5514 · arxiv_version: 1007.5514v1 · doi: 10.48550/arxiv.1007.5514 · pith_short_12: X4FIHIQVXKFW · pith_short_16: X4FIHIQVXKFWWJOJ · pith_short_8: X4FIHIQV

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/X4FIHIQVXKFWWJOJ523BV2SJYC \
  | 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: bf0a83a215ba8b6b25c9eeb61aea49c0855f86a05f824248f0a89b63cd22ce11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31605ccee16696cb8aef713ec2f03379d4430ffb12500c0e0625cfbe249513f2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-07-30T18:40:37Z",
    "title_canon_sha256": "28de326bcbf1349fafc7242c48f22ae107b0da9cb77e2184bccb214ce84a3fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5514",
    "kind": "arxiv",
    "version": 1
  }
}