Pith Number

pith:HRWRMYK3

pith:2021:HRWRMYK37OFBMRKQWR6BPSNR55

not attested not anchored not stored refs pending

Achievable Regions and Precoder Designs for the Multiple Access Wiretap Channels with Confidential and Open Messages

Giuseppe Caire, Hao Xu, Kai-Kit Wong, Tianyu Yang

arxiv:2107.14163 v1 · 2021-07-29 · 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{HRWRMYK37OFBMRKQWR6BPSNR55}

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	2026-07-05T03:01:45.008950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6d16615bfb8a164550b47c17c9b1ef491c0b9c18ef5fe318c91a9c5bcc9076

Aliases

arxiv: 2107.14163 · arxiv_version: 2107.14163v1 · doi: 10.48550/arxiv.2107.14163 · pith_short_12: HRWRMYK37OFB · pith_short_16: HRWRMYK37OFBMRKQ · pith_short_8: HRWRMYK3

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/HRWRMYK37OFBMRKQWR6BPSNR55 \
  | 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: 3c6d16615bfb8a164550b47c17c9b1ef491c0b9c18ef5fe318c91a9c5bcc9076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da188e968b74ddbd2ad75b90be2dc4b08fe259e3cc6bdf4212c746cac571878",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-07-29T16:38:26Z",
    "title_canon_sha256": "571897a26a5366b7a8032315c3d1353d607faca33413cc23e7923793f54c8002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14163",
    "kind": "arxiv",
    "version": 1
  }
}