pith. sign in
Pith Number

pith:HYZ7HUIF

pith:2011:HYZ7HUIFM4LB2A23WVAUV2HHKR
not attested not anchored not stored refs pending

Achievable Rate Region of Quantized Broadcast and MAC Channels

A. Chockalingam, Saif K. Mohammed, Suresh Chandrasekaran

arxiv:1102.2768 v1 · 2011-02-14 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HYZ7HUIFM4LB2A23WVAUV2HHKR}

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 2026-05-18T04:28:46.513197Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e33f3d10567161d035bb5414ae8e75475d06bc820c9aafc9935a7985018f013

Aliases

arxiv: 1102.2768 · arxiv_version: 1102.2768v1 · doi: 10.48550/arxiv.1102.2768 · pith_short_12: HYZ7HUIFM4LB · pith_short_16: HYZ7HUIFM4LB2A23 · pith_short_8: HYZ7HUIF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HYZ7HUIFM4LB2A23WVAUV2HHKR \
  | 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: 3e33f3d10567161d035bb5414ae8e75475d06bc820c9aafc9935a7985018f013
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "48e4e3b04ecc20ae6efd46ddae4e5eb0d9ec845f31c4e42a01570d584ed8d39d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-14T13:49:31Z",
    "title_canon_sha256": "e660cf7cd21dabf6a7d444a236a1834dfc53b1acfe6fde508c34d564912c07b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2768",
    "kind": "arxiv",
    "version": 1
  }
}