Pith Number

pith:JZXC3MNV

pith:2012:JZXC3MNVKXAUWXFU5XY5IMXB7N

not attested not anchored not stored refs pending

Energy Efficiency Scaling Law for MIMO Broadcasting Channels

Jie Xu, Ling Qiu

arxiv:1201.3698 v1 · 2012-01-18 · 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{JZXC3MNVKXAUWXFU5XY5IMXB7N}

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	2026-05-18T04:04:18.288399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e6e2db1b555c14b5cb4edf1d432e1fb534be05b7a817d451d36ccb00013a2a8

Aliases

arxiv: 1201.3698 · arxiv_version: 1201.3698v1 · doi: 10.48550/arxiv.1201.3698 · pith_short_12: JZXC3MNVKXAU · pith_short_16: JZXC3MNVKXAUWXFU · pith_short_8: JZXC3MNV

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/JZXC3MNVKXAUWXFU5XY5IMXB7N \
  | 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: 4e6e2db1b555c14b5cb4edf1d432e1fb534be05b7a817d451d36ccb00013a2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810a8d657d6a2f4289d9f305c41f1ff35c4c6f2346f5e88210d0608fdb864dc1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-18T06:02:31Z",
    "title_canon_sha256": "a2b3d4e4f0312d1a65cfcec2aefaf95a7898c3fe750139981cd9c684390c27d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3698",
    "kind": "arxiv",
    "version": 1
  }
}