Pith Number

pith:R7UOIPYT

pith:2008:R7UOIPYT44FQE4FORECCDSGX54

not attested not anchored not stored refs pending

An Energy-Based Comparison of Long-Hop and Short-Hop Routing in MIMO Networks

Caleb K. Lo, Robert W. Heath Jr, Sriram Vishwanath

arxiv:0808.0037 v4 · 2008-07-31 · 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{R7UOIPYT44FQE4FORECCDSGX54}

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	2026-05-18T00:57:58.510080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe8e43f13e70b0270ae890421c8d7ef1772ba5136ccade6f3c7bef83676cf31

Aliases

arxiv: 0808.0037 · arxiv_version: 0808.0037v4 · doi: 10.48550/arxiv.0808.0037 · pith_short_12: R7UOIPYT44FQ · pith_short_16: R7UOIPYT44FQE4FO · pith_short_8: R7UOIPYT

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/R7UOIPYT44FQE4FORECCDSGX54 \
  | 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: 8fe8e43f13e70b0270ae890421c8d7ef1772ba5136ccade6f3c7bef83676cf31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01941a770ddf6c9326e948b2bd0b44fd9df792098487ebca41a68ae6cb6563de",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-07-31T23:30:33Z",
    "title_canon_sha256": "bcd80dcda4d47cb4d3b2223ab8610468f5fac8340f03b55e96179122668e2621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0037",
    "kind": "arxiv",
    "version": 4
  }
}