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Pith Number

pith:PER7KJTX

pith:2015:PER7KJTXAAM6R5XFXGS3XRFTOK
not attested not anchored not stored refs pending

A New and More General Capacity Theorem for the Gaussian Channel with Two-sided Input-Noise Dependent State Information

Ghosheh Abed Hodtani, Mohammad Molavi Kakhki, Nima S. Anzabi-Nezhad

arxiv:1507.04924 v1 · 2015-07-17 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PER7KJTXAAM6R5XFXGS3XRFTOK}

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 2026-05-18T01:36:42.416646Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7923f526770019e8f6e5b9a5bbc4b372810feaf69f23545cdf41a0a5719fdfd6

Aliases

arxiv: 1507.04924 · arxiv_version: 1507.04924v1 · doi: 10.48550/arxiv.1507.04924 · pith_short_12: PER7KJTXAAM6 · pith_short_16: PER7KJTXAAM6R5XF · pith_short_8: PER7KJTX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PER7KJTXAAM6R5XFXGS3XRFTOK \
  | 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: 7923f526770019e8f6e5b9a5bbc4b372810feaf69f23545cdf41a0a5719fdfd6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e67e9859fa10f1fa6c55bf64dbb0c86636fa15fc020417bb899d96d2f7915ace",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-17T11:12:03Z",
    "title_canon_sha256": "df39bfe377da6dc6f6ae7061c22006624b36394c3a17e8c3572a1ad76853319c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04924",
    "kind": "arxiv",
    "version": 1
  }
}