Pith Number

pith:3AZUUS6U

pith:2017:3AZUUS6UMX4LGWDPNBID7SQAPX

not attested not anchored not stored refs pending

Sectoring in Multi-cell Massive MIMO Systems

Alexei Ashikhmin, Elza Erkip, Parisa Hassanzadeh, Shahram Shahsavari

arxiv:1707.09070 v1 · 2017-07-27 · 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{3AZUUS6UMX4LGWDPNBID7SQAPX}

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	2026-05-18T00:17:30.667423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8334a4bd465f8b3586f68503fca007dd8baf3339e1c9b00b8411ffbe9c80169

Aliases

arxiv: 1707.09070 · arxiv_version: 1707.09070v1 · doi: 10.48550/arxiv.1707.09070 · pith_short_12: 3AZUUS6UMX4L · pith_short_16: 3AZUUS6UMX4LGWDP · pith_short_8: 3AZUUS6U

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/3AZUUS6UMX4LGWDPNBID7SQAPX \
  | 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: d8334a4bd465f8b3586f68503fca007dd8baf3339e1c9b00b8411ffbe9c80169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837f86e7c59d33810becd513f42c6bca87aca326eb17acb8612f48495e04b98b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-27T23:07:15Z",
    "title_canon_sha256": "8bcff0fbfb34e0d5f824c415b6b45eeb066b864e6a9b3773fe210da431ef8685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09070",
    "kind": "arxiv",
    "version": 1
  }
}