Pith Number

pith:KI3TWKMX

pith:2016:KI3TWKMX456K43AUURTXTPWOGF

not attested not anchored not stored refs pending

Unified Framework for the Effective Rate Analysis of Wireless Communication Systems over MISO Fading Channels

Hongjian Sun, Jiayi Zhang, Jing Jiang, Minglei You

arxiv:1612.03882 v1 · 2016-12-12 · 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{KI3TWKMX456K43AUURTXTPWOGF}

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	2026-05-18T00:55:18.146183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52373b2997e77cae6c14a46779bece31480cfcb582c6122ec77144be66bdb291

Aliases

arxiv: 1612.03882 · arxiv_version: 1612.03882v1 · doi: 10.48550/arxiv.1612.03882 · pith_short_12: KI3TWKMX456K · pith_short_16: KI3TWKMX456K43AU · pith_short_8: KI3TWKMX

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/KI3TWKMX456K43AUURTXTPWOGF \
  | 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: 52373b2997e77cae6c14a46779bece31480cfcb582c6122ec77144be66bdb291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da868ef57f39c413aa165d75c394bcd654a8b604b6bb63e0cd8c1ceecedb099",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-12T20:24:20Z",
    "title_canon_sha256": "c77c6dd4857633d87b84731d2dedef3d7ef464e412bbcf54d0d3381fae4c457e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03882",
    "kind": "arxiv",
    "version": 1
  }
}