Pith Number

pith:PF6UTJY7

pith:2015:PF6UTJY7CQYAHPRG7DLIOHXNFM

not attested not anchored not stored refs pending

Fundamental Limits of Training-Based Multiuser MIMO Systems

Congmin Fan, Xiaojun Yuan, Ying Jun Zhang

arxiv:1511.08977 v2 · 2015-11-29 · 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{PF6UTJY7CQYAHPRG7DLIOHXNFM}

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	2026-05-18T01:20:03.294673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797d49a71f143003be26f8d6871eed2b3492ffa0652529f6ce0ae68f5e9288b8

Aliases

arxiv: 1511.08977 · arxiv_version: 1511.08977v2 · doi: 10.48550/arxiv.1511.08977 · pith_short_12: PF6UTJY7CQYA · pith_short_16: PF6UTJY7CQYAHPRG · pith_short_8: PF6UTJY7

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/PF6UTJY7CQYAHPRG7DLIOHXNFM \
  | 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: 797d49a71f143003be26f8d6871eed2b3492ffa0652529f6ce0ae68f5e9288b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c942edd04970de34651c2c3a5604b8d81b680677650849f341ac52cc12f8a398",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-29T06:56:35Z",
    "title_canon_sha256": "4946a1a7333515a37d95b131cab3c9afc6558c9aaf685a322db98100fc4fcd4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08977",
    "kind": "arxiv",
    "version": 2
  }
}