pith. sign in
Pith Number

pith:FIT3X224

pith:2012:FIT3X224VLPP4K4FTPUHRRGSXJ
not attested not anchored not stored refs pending

At Low SNR Asymmetric Quantizers Are Better

Amos Lapidoth, Tobias Koch

arxiv:1201.2523 v3 · 2012-01-12 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FIT3X224VLPP4K4FTPUHRRGSXJ}

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 2026-05-18T03:28:56.411648Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a27bbeb5caadefe2b859be878c4d2ba62094d1909c445c9e0621f8ba6a7e15d

Aliases

arxiv: 1201.2523 · arxiv_version: 1201.2523v3 · doi: 10.48550/arxiv.1201.2523 · pith_short_12: FIT3X224VLPP · pith_short_16: FIT3X224VLPP4K4F · pith_short_8: FIT3X224
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FIT3X224VLPP4K4FTPUHRRGSXJ \
  | 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: 2a27bbeb5caadefe2b859be878c4d2ba62094d1909c445c9e0621f8ba6a7e15d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "610fccc127c6067ee9845db70a2f24f3690640c33a8b3c36856b7e7a98bf30be",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-12T10:49:06Z",
    "title_canon_sha256": "4d1e453c2fa4caf40ab6c91d9b38a373854524e48173251725ccad4a7da7db84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2523",
    "kind": "arxiv",
    "version": 3
  }
}