Pith Number

pith:ZCUUUZ4X

pith:2014:ZCUUUZ4XFKVRRCENXOYP2D7IOT

not attested not anchored not stored refs pending

Spectral Efficiency of the Cellular Two-Way Relaying with Large Antenna Arrays

X. Wang, X. Yuan, Z. Fang

arxiv:1409.1184 v1 · 2014-09-03 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCUUUZ4XFKVRRCENXOYP2D7IOT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:43:37.483399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a94a67972aab18888dbbb0fd0fe874ca6ca5bc4a78c4218b94761b8cc03056

Aliases

arxiv: 1409.1184 · arxiv_version: 1409.1184v1 · doi: 10.48550/arxiv.1409.1184 · pith_short_12: ZCUUUZ4XFKVR · pith_short_16: ZCUUUZ4XFKVRRCEN · pith_short_8: ZCUUUZ4X

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/ZCUUUZ4XFKVRRCENXOYP2D7IOT \
  | 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: c8a94a67972aab18888dbbb0fd0fe874ca6ca5bc4a78c4218b94761b8cc03056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b70906dc512e4ce513d29ece4287b302062b25689db75ddecb72ec7e00ec2aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-03T18:07:45Z",
    "title_canon_sha256": "42d6d264c16d1114aa9d2607e7e2f7a757cb117f4bb122dc75124c1f333f5126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1184",
    "kind": "arxiv",
    "version": 1
  }
}