Pith Number

pith:D5NRNIG6

pith:2012:D5NRNIG6GNRHOY7SCFJREYH2QW

not attested not anchored not stored refs pending

Multiple-antenna fading coherent channels with arbitrary inputs: Characterization and optimization of the reliable information transmission rate

Miguel Rodrigues

arxiv:1210.6777 v1 · 2012-10-25 · 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{D5NRNIG6GNRHOY7SCFJREYH2QW}

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	2026-05-18T03:42:23.168709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5b16a0de33627763f211531260fa8599cc6fba04d2bf15f04a020d699697cd

Aliases

arxiv: 1210.6777 · arxiv_version: 1210.6777v1 · doi: 10.48550/arxiv.1210.6777 · pith_short_12: D5NRNIG6GNRH · pith_short_16: D5NRNIG6GNRHOY7S · pith_short_8: D5NRNIG6

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/D5NRNIG6GNRHOY7SCFJREYH2QW \
  | 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: 1f5b16a0de33627763f211531260fa8599cc6fba04d2bf15f04a020d699697cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcbd6e4115463cca20ce728ef123d6c2a9ec735c01ad074b511b010208fd4e8b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-10-25T09:57:31Z",
    "title_canon_sha256": "03551968cfcbe7ac45119535cce58e9232525ea3b4408305465a147de4c422df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6777",
    "kind": "arxiv",
    "version": 1
  }
}