Pith Number

pith:H7FKQ7PJ

pith:2015:H7FKQ7PJTBMUDMCN5F5BLAY36V

not attested not anchored not stored refs pending

On Gaussian Channels with Feedback under Expected Power Constraints and with Non-Vanishing Error Probabilities

Lan V. Truong, Silas L. Fong, Vincent Y. F. Tan

arxiv:1512.05088 v3 · 2015-12-16 · 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{H7FKQ7PJTBMUDMCN5F5BLAY36V}

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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	2026-05-18T01:04:09.315412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fcaa87de9985941b04de97a15831bf56fc66dac2521b9455946e85e1020f0a9

Aliases

arxiv: 1512.05088 · arxiv_version: 1512.05088v3 · doi: 10.48550/arxiv.1512.05088 · pith_short_12: H7FKQ7PJTBMU · pith_short_16: H7FKQ7PJTBMUDMCN · pith_short_8: H7FKQ7PJ

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/H7FKQ7PJTBMUDMCN5F5BLAY36V \
  | 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: 3fcaa87de9985941b04de97a15831bf56fc66dac2521b9455946e85e1020f0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9a6a8e8407800812f733ec50b0cb1a16bdf17547678c474cc58e4b3ef7053f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-16T08:35:28Z",
    "title_canon_sha256": "3f89ebec433c3b3ae133f2b058d4909cf08e222083d02f3631404a3ae32b9798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05088",
    "kind": "arxiv",
    "version": 3
  }
}