Pith Number

pith:ZKYSYXG2

pith:2016:ZKYSYXG2KE4O7FHG35T3CRTCEI

not attested not anchored not stored refs pending

Rate-Distortion Bounds on Bayes Risk in Supervised Learning

Ahmad Beirami, Matthew Nokleby, Robert Calderbank

arxiv:1605.02268 v2 · 2016-05-08 · cs.IT · cs.LG · math.IT · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKYSYXG2KE4O7FHG35T3CRTCEI}

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.

Cited by

1 paper in Pith

Centralized Caching and Delivery of Correlated Contents over Gaussian Broadcast Channels

Receipt and verification

First computed	2026-05-18T00:30:22.637335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab12c5cda5138ef94e6df67b1466222124ae2dec00cfb8d57512ecf87129b32

Aliases

arxiv: 1605.02268 · arxiv_version: 1605.02268v2 · doi: 10.48550/arxiv.1605.02268 · pith_short_12: ZKYSYXG2KE4O · pith_short_16: ZKYSYXG2KE4O7FHG · pith_short_8: ZKYSYXG2

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/ZKYSYXG2KE4O7FHG35T3CRTCEI \
  | 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: cab12c5cda5138ef94e6df67b1466222124ae2dec00cfb8d57512ecf87129b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b9ae963591f3bca5550e68e747d2b61dfa606fcee5718af589edb6b293d90e",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-08T03:54:34Z",
    "title_canon_sha256": "386bc7f084d37786bcb769691995b0644ae6a46d53016f21d52b4c8475a2671d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02268",
    "kind": "arxiv",
    "version": 2
  }
}