Pith Number

pith:CGW5EC4B

pith:2016:CGW5EC4BXIRCY4FDW3AVF5RNXF

not attested not anchored not stored refs pending

Upper Bounds on the Capacity of 2-Layer $N$-Relay Symmetric Gaussian Network

Satyajit Thakor, Syed Abbas

arxiv:1601.06686 v4 · 2016-01-25 · 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{CGW5EC4BXIRCY4FDW3AVF5RNXF}

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	2026-05-18T01:17:17.654424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11add20b81ba222c70a3b6c152f62db96eac842a79c7d1228431c8d20034d884

Aliases

arxiv: 1601.06686 · arxiv_version: 1601.06686v4 · doi: 10.48550/arxiv.1601.06686 · pith_short_12: CGW5EC4BXIRC · pith_short_16: CGW5EC4BXIRCY4FD · pith_short_8: CGW5EC4B

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/CGW5EC4BXIRCY4FDW3AVF5RNXF \
  | 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: 11add20b81ba222c70a3b6c152f62db96eac842a79c7d1228431c8d20034d884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7b14361758adb083b4da1be1aa4e9735ee7f0113f8109c2a57d1a0f615c9ee",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-25T17:29:37Z",
    "title_canon_sha256": "0faf9f0c962940cfe9dd88406beb42a390baccc476333775f18f260733efe734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06686",
    "kind": "arxiv",
    "version": 4
  }
}