Pith Number

pith:3NT6U3X6

pith:2012:3NT6U3X6X6DV4XFYIC77XDFAPK

not attested not anchored not stored refs pending

On the Diversity Gain Region of the Z-interference Channels

Hesham El Gamal, Karim G. Seddik, Mohamed S. Nafea, Mohammed Nafie

arxiv:1202.2561 v2 · 2012-02-12 · 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{3NT6U3X6X6DV4XFYIC77XDFAPK}

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	2026-05-18T00:59:09.824560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db67ea6efebf875e5cb840bffb8ca07ab17016eaa235b2c6b106024ca67dfd5f

Aliases

arxiv: 1202.2561 · arxiv_version: 1202.2561v2 · doi: 10.48550/arxiv.1202.2561 · pith_short_12: 3NT6U3X6X6DV · pith_short_16: 3NT6U3X6X6DV4XFY · pith_short_8: 3NT6U3X6

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/3NT6U3X6X6DV4XFYIC77XDFAPK \
  | 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: db67ea6efebf875e5cb840bffb8ca07ab17016eaa235b2c6b106024ca67dfd5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec5bcf689d9aa6b54bb2855d0cef7eaed495f56ee87b04e6df9e9ffd8a756d5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-12T20:01:01Z",
    "title_canon_sha256": "cd2b8e7f27c2f0c576b9af404123f4bf454ff2b6154afd7c3c0d22fadab3b432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2561",
    "kind": "arxiv",
    "version": 2
  }
}