Pith Number

pith:KSXY5ZLJ

pith:2016:KSXY5ZLJU4ITBEWFUJGZCAHHDC

not attested not anchored not stored refs pending

LDA Lattices Without Dithering Achieve Capacity on the Gaussian Channel

Gilles Z\'emor, Joseph J. Boutros, Nicola di Pietro

arxiv:1603.02863 v1 · 2016-03-09 · 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{KSXY5ZLJU4ITBEWFUJGZCAHHDC}

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	2026-05-18T01:19:19.697544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54af8ee569a7113092c5a24d9100e71885aa62843fdc4daa4a617e99f3002b40

Aliases

arxiv: 1603.02863 · arxiv_version: 1603.02863v1 · doi: 10.48550/arxiv.1603.02863 · pith_short_12: KSXY5ZLJU4IT · pith_short_16: KSXY5ZLJU4ITBEWF · pith_short_8: KSXY5ZLJ

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/KSXY5ZLJU4ITBEWFUJGZCAHHDC \
  | 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: 54af8ee569a7113092c5a24d9100e71885aa62843fdc4daa4a617e99f3002b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df58486ca9311c606bd9864ec037a929fddc98ccb77bc8411af9f255e04ab8d3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-09T12:25:03Z",
    "title_canon_sha256": "fff27114e219e7371cf68f7246b6ff87bb6dbeb41b9bc4c81e41546642b3aa2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02863",
    "kind": "arxiv",
    "version": 1
  }
}