Pith Number

pith:CM5OBGJV

pith:2010:CM5OBGJV7ME6LWURFZPKTON5M3

not attested not anchored not stored refs pending

Random Beamforming over Quasi-Static and Fading Channels: A Deterministic Equivalent Approach

Jakob Hoydis, Merouane Debbah, Romain Couillet

arxiv:1011.3717 v3 · 2010-11-16 · 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{CM5OBGJV7ME6LWURFZPKTON5M3}

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	2026-05-18T00:57:57.555851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133ae09935fb09e5da912e5ea9b9bd66d25b3105f771a88cec7ea3adaf94661d

Aliases

arxiv: 1011.3717 · arxiv_version: 1011.3717v3 · doi: 10.48550/arxiv.1011.3717 · pith_short_12: CM5OBGJV7ME6 · pith_short_16: CM5OBGJV7ME6LWUR · pith_short_8: CM5OBGJV

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/CM5OBGJV7ME6LWURFZPKTON5M3 \
  | 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: 133ae09935fb09e5da912e5ea9b9bd66d25b3105f771a88cec7ea3adaf94661d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59491d4cb925aa089c5cf1be0135ab9854a24531e62ead698aee281c83643de7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-11-16T14:59:24Z",
    "title_canon_sha256": "90db40cf2617c3fce6e718dadd1fc2feef1a09da2f3a8d02b90efdf50448c416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3717",
    "kind": "arxiv",
    "version": 3
  }
}