Pith Number

pith:3AODWPGG

pith:2014:3AODWPGGADDERDJL3ZK7MPHIJO

not attested not anchored not stored refs pending

Multiple Access Gaussian Channels with Arbitrary Inputs: Optimal Precoding and Power Allocation

Samah A. M. Ghanem

arxiv:1411.0446 v2 · 2014-11-03 · 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{3AODWPGGADDERDJL3ZK7MPHIJO}

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	2026-05-18T02:38:28.127475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81c3b3cc600c6488d2bde55f63ce84b89c9fc29f2ff861eb63875f8faa737bd

Aliases

arxiv: 1411.0446 · arxiv_version: 1411.0446v2 · doi: 10.48550/arxiv.1411.0446 · pith_short_12: 3AODWPGGADDE · pith_short_16: 3AODWPGGADDERDJL · pith_short_8: 3AODWPGG

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/3AODWPGGADDERDJL3ZK7MPHIJO \
  | 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: d81c3b3cc600c6488d2bde55f63ce84b89c9fc29f2ff861eb63875f8faa737bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45474dcc1fa52d4e35999b6b161b153a3b1fcae7da874ad7f3d7ce37a744e904",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-03T12:09:23Z",
    "title_canon_sha256": "cb900b029c203437963055941156d7e539aff65025d159bb6d732108a16b31e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0446",
    "kind": "arxiv",
    "version": 2
  }
}