pith. sign in
Pith Number

pith:IAUJKMXK

pith:2010:IAUJKMXKOJ3FYYXQV23THSR6FP
not attested not anchored not stored refs pending

Gaussian Z-Interference Channel with a Relay Link: Achievability Region and Asymptotic Sum Capacity

Lei Zhou, Wei Yu

arxiv:1006.5087 v4 · 2010-06-26 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IAUJKMXKOJ3FYYXQV23THSR6FP}

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 2026-05-18T03:57:13.033998Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

40289532ea72765c62f0aeb733ca3e2bf089a948ca31812ed33f6a8dc985a5bd

Aliases

arxiv: 1006.5087 · arxiv_version: 1006.5087v4 · doi: 10.48550/arxiv.1006.5087 · pith_short_12: IAUJKMXKOJ3F · pith_short_16: IAUJKMXKOJ3FYYXQ · pith_short_8: IAUJKMXK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IAUJKMXKOJ3FYYXQV23THSR6FP \
  | 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: 40289532ea72765c62f0aeb733ca3e2bf089a948ca31812ed33f6a8dc985a5bd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "997c503c4911f180e93c80635b22579563c7ee276d96bb9ca854dc5c0475488d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-06-26T00:49:34Z",
    "title_canon_sha256": "8416c29a48671ec745b36785d3050556049033507d365e55a51f736cb1d6fb7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5087",
    "kind": "arxiv",
    "version": 4
  }
}