Pith Number

pith:QXMP2YCI

pith:2011:QXMP2YCIZPZMCYJ6NSEYRJVAON

not attested not anchored not stored refs pending

Optimal Channel Training in Uplink Network MIMO Systems

Jakob Hoydis, Mari Kobayashi, Merouane Debbah

arxiv:1104.2049 v1 · 2011-04-11 · 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{QXMP2YCIZPZMCYJ6NSEYRJVAON}

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	2026-05-18T02:02:35.164304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d8fd6048cbf2c1613e6c8988a6a073446dfcf863369138a35dcbb181ca9e53

Aliases

arxiv: 1104.2049 · arxiv_version: 1104.2049v1 · doi: 10.48550/arxiv.1104.2049 · pith_short_12: QXMP2YCIZPZM · pith_short_16: QXMP2YCIZPZMCYJ6 · pith_short_8: QXMP2YCI

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/QXMP2YCIZPZMCYJ6NSEYRJVAON \
  | 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: 85d8fd6048cbf2c1613e6c8988a6a073446dfcf863369138a35dcbb181ca9e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7915b11de9b7f39a6ce3e13eef38d4720e153bace015d604ccf54cfc598a6530",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-04-11T20:04:28Z",
    "title_canon_sha256": "53a8562e5a5fbb4fab23368f8384590a6ea3b2eec84d5bdb9c06b32de5326c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2049",
    "kind": "arxiv",
    "version": 1
  }
}