Pith Number

pith:TUTWQMZR

pith:2017:TUTWQMZRR2KJODDMW27WBWUWLP

not attested not anchored not stored refs pending

Massive Connectivity with Massive MIMO-Part II: Achievable Rate Characterization

Liang Liu, Wei Yu

arxiv:1706.06433 v2 · 2017-06-20 · 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{TUTWQMZRR2KJODDMW27WBWUWLP}

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	2026-05-18T00:16:31.991010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d276833318e94970c6cb6bf60da965bfe07d3b1867a2b38fe01a44d385f10f0

Aliases

arxiv: 1706.06433 · arxiv_version: 1706.06433v2 · doi: 10.48550/arxiv.1706.06433 · pith_short_12: TUTWQMZRR2KJ · pith_short_16: TUTWQMZRR2KJODDM · pith_short_8: TUTWQMZR

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/TUTWQMZRR2KJODDMW27WBWUWLP \
  | 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: 9d276833318e94970c6cb6bf60da965bfe07d3b1867a2b38fe01a44d385f10f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14f9964d004f0362a56100542d5bc5fe0251005c0fe663eaf9b3e5874b1e47b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-20T13:49:44Z",
    "title_canon_sha256": "a0bcdb15c020aa33f7facb27a602a649c54f09c63a080b5defa92d964d38fe1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06433",
    "kind": "arxiv",
    "version": 2
  }
}