Pith Number

pith:SKWPLH6D

pith:2016:SKWPLH6DRNHOATZEIQADO2FRXA

not attested not anchored not stored refs pending

Converse Bounds on Modulation-Estimation Performance for the Gaussian Multiple-Access Channel

Ayse Unsal, Neri Merhav, Raymond Knopp

arxiv:1609.08300 v1 · 2016-09-27 · 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{SKWPLH6DRNHOATZEIQADO2FRXA}

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	2026-05-18T01:03:46.197541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92acf59fc38b4ee04f2444003768b1b8129011c55342818b5c58ea8f8871a12b

Aliases

arxiv: 1609.08300 · arxiv_version: 1609.08300v1 · doi: 10.48550/arxiv.1609.08300 · pith_short_12: SKWPLH6DRNHO · pith_short_16: SKWPLH6DRNHOATZE · pith_short_8: SKWPLH6D

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/SKWPLH6DRNHOATZEIQADO2FRXA \
  | 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: 92acf59fc38b4ee04f2444003768b1b8129011c55342818b5c58ea8f8871a12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672365818ece0e9bdc9ab32acced45ae59a8e40c516ea37b2cbc7b630bb73a07",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-27T08:00:05Z",
    "title_canon_sha256": "74ca34efb966d6d427bb0b251d03fb4934875902b8a8cfbbc376c4ba69ad8de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08300",
    "kind": "arxiv",
    "version": 1
  }
}