Pith Number

pith:ZA4DK2Q6

pith:2013:ZA4DK2Q65FX4J3D4WGRDECHC4H

not attested not anchored not stored refs pending

Achievable Rate Regions for Two-Way Relay Channel using Nested Lattice Coding

Abdellatif Zaidi, Mireille Sarkiss, Mohamed Kamoun, Pierre Duhamel, Sinda Smirani

arxiv:1311.5360 v1 · 2013-11-21 · 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{ZA4DK2Q65FX4J3D4WGRDECHC4H}

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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	2026-05-18T00:58:16.613866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c838356a1ee96fc4ec7cb1a23208e2e1cefaa8f48965ff4b951f65679d198cea

Aliases

arxiv: 1311.5360 · arxiv_version: 1311.5360v1 · doi: 10.48550/arxiv.1311.5360 · pith_short_12: ZA4DK2Q65FX4 · pith_short_16: ZA4DK2Q65FX4J3D4 · pith_short_8: ZA4DK2Q6

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/ZA4DK2Q65FX4J3D4WGRDECHC4H \
  | 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: c838356a1ee96fc4ec7cb1a23208e2e1cefaa8f48965ff4b951f65679d198cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb2389b175427764306c0c087fa88f81303003bdc70f2142ddc4ca4d0d368d1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-21T10:46:45Z",
    "title_canon_sha256": "ac914333ed49766a88e495917c4364c445bbeabff368bfc0ade6f8101511553f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5360",
    "kind": "arxiv",
    "version": 1
  }
}