Pith Number

pith:5HBWC3TF

pith:2015:5HBWC3TFEYKPKC5UHNZ6WA5AUC

not attested not anchored not stored refs pending

Broadbeam for Massive MIMO Systems

Deli Qiao, Geoffrey Ye Li, Haifeng Qian

arxiv:1503.06882 v1 · 2015-03-24 · 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{5HBWC3TFEYKPKC5UHNZ6WA5AUC}

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	2026-05-18T01:15:53.041475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c3616e652614f50bb43b73eb03a0a0a4775c1f513f9953a5f882ab05c45cb1

Aliases

arxiv: 1503.06882 · arxiv_version: 1503.06882v1 · doi: 10.48550/arxiv.1503.06882 · pith_short_12: 5HBWC3TFEYKP · pith_short_16: 5HBWC3TFEYKPKC5U · pith_short_8: 5HBWC3TF

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/5HBWC3TFEYKPKC5UHNZ6WA5AUC \
  | 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: e9c3616e652614f50bb43b73eb03a0a0a4775c1f513f9953a5f882ab05c45cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d623468d91de723e54206e08c1dcfe91d674a5b330d2af81df0b88560c8f3c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-24T00:53:48Z",
    "title_canon_sha256": "424d5c2fba4c80c92bec51524a993f7044445332d8237a2dc2d60bb6decd63e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06882",
    "kind": "arxiv",
    "version": 1
  }
}