Pith Number

pith:WUUVXG5R

pith:2014:WUUVXG5R7KGHLJI3PEBBFBTOXL

not attested not anchored not stored refs pending

Massive MIMO for Maximal Spectral Efficiency: How Many Users and Pilots Should Be Allocated?

Emil Bj\"ornson, Erik G. Larsson, M\'erouane Debbah

arxiv:1412.7102 v3 · 2014-12-22 · cs.IT · cs.NI · 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{WUUVXG5R7KGHLJI3PEBBFBTOXL}

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	2026-05-18T01:29:46.658019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5295b9bb1fa8c75a51b790212866ebac7b5aa9c9ba505316cd6c6dae4baa98e

Aliases

arxiv: 1412.7102 · arxiv_version: 1412.7102v3 · doi: 10.48550/arxiv.1412.7102 · pith_short_12: WUUVXG5R7KGH · pith_short_16: WUUVXG5R7KGHLJI3 · pith_short_8: WUUVXG5R

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/WUUVXG5R7KGHLJI3PEBBFBTOXL \
  | 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: b5295b9bb1fa8c75a51b790212866ebac7b5aa9c9ba505316cd6c6dae4baa98e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622fc7b436de158e763b5e6ae0fdfab8db798d15a0b84bcf4565f7f5d030a1b2",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-12-22T19:15:55Z",
    "title_canon_sha256": "9eccc4d978fba0049a17a4989d87e293408b049bc4780dfea4c2ebde92c4ffea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7102",
    "kind": "arxiv",
    "version": 3
  }
}