Pith Number

pith:45Z4QQEU

pith:2017:45Z4QQEUI6BPUNZV2YYEXDEM3N

not attested not anchored not stored refs pending

Feedback-Capacity of Degraded Gaussian Vector BC using Directed Information and Concave Envelopes

S.R.B. Pillai, Viswanathan Ramachandran

arxiv:1704.05479 v1 · 2017-04-18 · 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{45Z4QQEUI6BPUNZV2YYEXDEM3N}

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	2026-05-18T00:46:07.312069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e773c840944782fa3735d6304b8c8cdb554b2a69ad0c74347c56f27c612e0e2d

Aliases

arxiv: 1704.05479 · arxiv_version: 1704.05479v1 · doi: 10.48550/arxiv.1704.05479 · pith_short_12: 45Z4QQEUI6BP · pith_short_16: 45Z4QQEUI6BPUNZV · pith_short_8: 45Z4QQEU

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/45Z4QQEUI6BPUNZV2YYEXDEM3N \
  | 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: e773c840944782fa3735d6304b8c8cdb554b2a69ad0c74347c56f27c612e0e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a6ea230bac2738893345579f614d5f5077681590f8d623d5772a92a285140d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-18T18:07:30Z",
    "title_canon_sha256": "ba8feac7fc24442b43e30ef4d198fc0bb0066770565056f9e88a7cc177e35a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05479",
    "kind": "arxiv",
    "version": 1
  }
}