Pith Number

pith:ZQB4QY6R

pith:2023:ZQB4QY6RZHDWO2G6AY25O6EGNP

not attested not anchored not stored refs pending

Gaussian Process on the Product of Directional Manifolds

Kailai Li, Ziyu Cao

arxiv:2303.06799 v3 · 2023-03-13 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQB4QY6RZHDWO2G6AY25O6EGNP}

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	2026-07-05T08:33:29.814538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc03c863d1c9c76768de0635d778866bf3a2eaaea8886d5deaebb588d9f9cd36

Aliases

arxiv: 2303.06799 · arxiv_version: 2303.06799v3 · doi: 10.48550/arxiv.2303.06799 · pith_short_12: ZQB4QY6RZHDW · pith_short_16: ZQB4QY6RZHDWO2G6 · pith_short_8: ZQB4QY6R

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/ZQB4QY6RZHDWO2G6AY25O6EGNP \
  | 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: cc03c863d1c9c76768de0635d778866bf3a2eaaea8886d5deaebb588d9f9cd36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "551976abf274cf806cbe190fb583e8cdc3492f0c4c59989c2b7c37a6ddf01e31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-03-13T01:09:37Z",
    "title_canon_sha256": "c32bab33f8e13457fa642548f1401b871d0639385d465191ebf95c7d1d17aa1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.06799",
    "kind": "arxiv",
    "version": 3
  }
}