Pith Number

pith:6ER2QXQK

pith:2026:6ER2QXQKOS6NYT52UZY7U7AO23

not attested not anchored not stored refs pending

Statistically Meaningful Geometry (SMG) Beyond the Euclidean Paradigm, with Application to Generative AI

Bing Cheng, Howell Tong, Shing-Tung Yau, Yi-Shuai Niu

arxiv:2607.03329 v1 · 2026-07-03 · cs.LG · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ER2QXQKOS6NYT52UZY7U7AO23}

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	2026-07-07T02:17:37.681431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f123a85e0a74bcdc4fbaa671fa7c0ed6d00975f87ba0f72305825acc9a48d6a0

Aliases

arxiv: 2607.03329 · arxiv_version: 2607.03329v1 · doi: 10.48550/arxiv.2607.03329 · pith_short_12: 6ER2QXQKOS6N · pith_short_16: 6ER2QXQKOS6NYT52 · pith_short_8: 6ER2QXQK

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/6ER2QXQKOS6NYT52UZY7U7AO23 \
  | 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: f123a85e0a74bcdc4fbaa671fa7c0ed6d00975f87ba0f72305825acc9a48d6a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "375b8833542d31b60f4a67ad893c0e348a4972462181e810aedc3fbcb0e3e132",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-03T13:46:31Z",
    "title_canon_sha256": "b092e29517431eb527e4864233f4c13b3fa03603de9ecb9eae1c91052514d656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03329",
    "kind": "arxiv",
    "version": 1
  }
}