Pith Number

pith:ZU5KOZW2

pith:2023:ZU5KOZW2JD3ANAHF2GYRVR6PIZ

not attested not anchored not stored refs pending

An Achievable and Analytic Solution to Information Bottleneck for Gaussian Mixtures

Giuseppe Caire, Kai Wan, Yi Song, Zhenyu Liao

arxiv:2302.03549 v3 · 2023-02-07 · 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{ZU5KOZW2JD3ANAHF2GYRVR6PIZ}

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	2026-07-05T08:17:55.953024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3aa766da48f60680e5d1b11ac7cf466941a5741e583726a9c9971e586d7f19

Aliases

arxiv: 2302.03549 · arxiv_version: 2302.03549v3 · doi: 10.48550/arxiv.2302.03549 · pith_short_12: ZU5KOZW2JD3A · pith_short_16: ZU5KOZW2JD3ANAHF · pith_short_8: ZU5KOZW2

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/ZU5KOZW2JD3ANAHF2GYRVR6PIZ \
  | 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: cd3aa766da48f60680e5d1b11ac7cf466941a5741e583726a9c9971e586d7f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16b24c3b1e3451c46f3bd0fe8b2bbdb2577cc0d5e913a5090b31883f52b7710",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-02-07T15:56:10Z",
    "title_canon_sha256": "549f670664c7c50d2608d3ab9156fe50b2943b8483a925777e9487c72be29b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.03549",
    "kind": "arxiv",
    "version": 3
  }
}