Pith Number

pith:WUPAOLRJ

pith:2017:WUPAOLRJ4M5PJGQFO5NIFJ7ZMU

not attested not anchored not stored refs pending

On the Gaussian Multiple Access Wiretap Channel and the Gaussian Wiretap Channel with a Helper: Achievable Schemes and Upper Bounds

Gerhard Wunder, Rick Fritschek

arxiv:1712.04274 v2 · 2017-12-12 · 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{WUPAOLRJ4M5PJGQFO5NIFJ7ZMU}

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	2026-05-18T00:17:53.877958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51e072e29e33af49a05775a82a7f96533073e668ed982e93631d342b4858fc5

Aliases

arxiv: 1712.04274 · arxiv_version: 1712.04274v2 · doi: 10.48550/arxiv.1712.04274 · pith_short_12: WUPAOLRJ4M5P · pith_short_16: WUPAOLRJ4M5PJGQF · pith_short_8: WUPAOLRJ

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/WUPAOLRJ4M5PJGQFO5NIFJ7ZMU \
  | 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: b51e072e29e33af49a05775a82a7f96533073e668ed982e93631d342b4858fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b03faaa639b0b8674f83f6dbeeb07bc0f019aa06d75ac4c85b0772740718206",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-12T13:04:56Z",
    "title_canon_sha256": "4c1bac1b3c1ed41633e484ba61ee65688a02b8ca7d2b991ad43b80d0626c9c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04274",
    "kind": "arxiv",
    "version": 2
  }
}