Pith Number

pith:X3XPR3VI

pith:2013:X3XPR3VIKJN6SFIMA2N6Y66STK

not attested not anchored not stored refs pending

Random Beamforming with Heterogeneous Users and Selective Feedback: Individual Sum Rate and Individual Scaling Laws

Bhaskar D. Rao, Yichao Huang

arxiv:1303.0592 v1 · 2013-03-04 · 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{X3XPR3VIKJN6SFIMA2N6Y66STK}

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	2026-05-18T00:58:42.571137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeef8eea8525be9150c069bec7bd29a8a54f80744f4ac8a55e413e9195d177f

Aliases

arxiv: 1303.0592 · arxiv_version: 1303.0592v1 · doi: 10.48550/arxiv.1303.0592 · pith_short_12: X3XPR3VIKJN6 · pith_short_16: X3XPR3VIKJN6SFIM · pith_short_8: X3XPR3VI

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/X3XPR3VIKJN6SFIMA2N6Y66STK \
  | 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: beeef8eea8525be9150c069bec7bd29a8a54f80744f4ac8a55e413e9195d177f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2338adfcaca00eac848de1f423f887043768672f2fff01c226c2e00db730f15c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-04T02:55:42Z",
    "title_canon_sha256": "fa292d52aa23c347b6e0acf95a47f67719fb4b882abf4d2dc8e82c6f1b7fcee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0592",
    "kind": "arxiv",
    "version": 1
  }
}