Pith Number

pith:4FYN3RSM

pith:2016:4FYN3RSM7CX5PUM7LY24CZQQ4K

not attested not anchored not stored refs pending

Gaussian Two-Way Channels With Discrete Inputs and Quantized Outputs

Ershad Banijamali

arxiv:1605.00979 v1 · 2016-05-03 · 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{4FYN3RSM7CX5PUM7LY24CZQQ4K}

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	2026-05-18T01:15:47.536189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e170ddc64cf8afd7d19f5e35c16610e28a2fd67c918cf7165dabf72ab3564f97

Aliases

arxiv: 1605.00979 · arxiv_version: 1605.00979v1 · doi: 10.48550/arxiv.1605.00979 · pith_short_12: 4FYN3RSM7CX5 · pith_short_16: 4FYN3RSM7CX5PUM7 · pith_short_8: 4FYN3RSM

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/4FYN3RSM7CX5PUM7LY24CZQQ4K \
  | 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: e170ddc64cf8afd7d19f5e35c16610e28a2fd67c918cf7165dabf72ab3564f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b62fa9adb6514830be58415ba8ebc4e994fd721dbf799a0e7396157cb272cfd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-03T16:47:42Z",
    "title_canon_sha256": "63ef4889565f08f96bd46855e09652638f8bdc4136d184743e2f9d295d780f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00979",
    "kind": "arxiv",
    "version": 1
  }
}