pith. sign in
Pith Number

pith:HAAKNRI5

pith:2012:HAAKNRI5S4WHC3GS5SIENVPEZR
not attested not anchored not stored refs pending

On Reliability Function of Gaussian Channel with Noisy Feedback: Zero Transmission Rate

H. Yamamoto, M. V. Burnashev

arxiv:1208.2786 v1 · 2012-08-14 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HAAKNRI5S4WHC3GS5SIENVPEZR}

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 2026-05-18T03:48:47.242134Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3800a6c51d972c716cd2ec9046d5e4cc7999929f1d970e5b130728b7a231257e

Aliases

arxiv: 1208.2786 · arxiv_version: 1208.2786v1 · doi: 10.48550/arxiv.1208.2786 · pith_short_12: HAAKNRI5S4WH · pith_short_16: HAAKNRI5S4WHC3GS · pith_short_8: HAAKNRI5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HAAKNRI5S4WHC3GS5SIENVPEZR \
  | 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: 3800a6c51d972c716cd2ec9046d5e4cc7999929f1d970e5b130728b7a231257e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6cad02147b6852c61090bd1d56905691f049e0054ff65030bc9b8a36ba1808c1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-14T05:15:07Z",
    "title_canon_sha256": "f08bdc4c1edac81d14c0952ac76095ca2320d3b21f02ed2b5fe27bce235f6dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2786",
    "kind": "arxiv",
    "version": 1
  }
}