Pith Number

pith:MH2I6OHV

pith:2020:MH2I6OHVFJOIGPTHAHXNSGXHA6

not attested not anchored not stored refs pending

Huffman-coded Sphere Shaping and Distribution Matching Algorithms via Lookup Tables

David S. Millar, Helmut Griesser, Keisuke Kojima, Kieran Parsons, Tobias Fehenberger, Toshiaki Koike-Akino

arxiv:2006.07045 v1 · 2020-06-12 · eess.SP · 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{MH2I6OHVFJOIGPTHAHXNSGXHA6}

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	2026-07-05T01:09:49.480254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f48f38f52a5c833e6701eed91ae7079219a3b0f29576c1e7570af27a7f83fe

Aliases

arxiv: 2006.07045 · arxiv_version: 2006.07045v1 · doi: 10.48550/arxiv.2006.07045 · pith_short_12: MH2I6OHVFJOI · pith_short_16: MH2I6OHVFJOIGPTH · pith_short_8: MH2I6OHV

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/MH2I6OHVFJOIGPTHAHXNSGXHA6 \
  | 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: 61f48f38f52a5c833e6701eed91ae7079219a3b0f29576c1e7570af27a7f83fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1522477cf467bd2ebcff76d588417b480bf44fa76474ddee26a83d4ecb982504",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2020-06-12T10:00:23Z",
    "title_canon_sha256": "3b987b00442df94e8cb07fe863cb0392e5af7a89b31c93dd0724e57d3c87a7ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.07045",
    "kind": "arxiv",
    "version": 1
  }
}