Pith Number

pith:H6J7TLP4

pith:2012:H6J7TLP4NLPC66PQFOHWVVUKFF

not attested not anchored not stored refs pending

Energy Efficiency Optimization for MIMO Broadcast Channels

Jie Xu, Ling Qiu

arxiv:1202.3510 v2 · 2012-02-16 · 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{H6J7TLP4NLPC66PQFOHWVVUKFF}

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	2026-05-18T03:53:54.387812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f93f9adfc6ade2f79f02b8f6ad68a296ea1ec6d1c6a40c35a5af4f7fbb958ab

Aliases

arxiv: 1202.3510 · arxiv_version: 1202.3510v2 · doi: 10.48550/arxiv.1202.3510 · pith_short_12: H6J7TLP4NLPC · pith_short_16: H6J7TLP4NLPC66PQ · pith_short_8: H6J7TLP4

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/H6J7TLP4NLPC66PQFOHWVVUKFF \
  | 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: 3f93f9adfc6ade2f79f02b8f6ad68a296ea1ec6d1c6a40c35a5af4f7fbb958ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a2746717d46fef2d2d91da2c1ba9a016a9893938f450e6e501f48a3d3b3875",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-16T04:21:05Z",
    "title_canon_sha256": "bd1368b3973a52d262699a6558e1eaee34691c4f1d190b1d7a6b54d0a7f58f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3510",
    "kind": "arxiv",
    "version": 2
  }
}