Pith Number

pith:7MC4TWUU

pith:2022:7MC4TWUU62XFP7GYSPQQPS27VH

not attested not anchored not stored refs pending

Spherical Rotation Dimension Reduction with Geometric Loss Functions

Didong Li, Hengrui Luo, Jeremy E. Purvis

arxiv:2204.10975 v2 · 2022-04-23 · stat.ML · cs.LG · math.ST · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MC4TWUU62XFP7GYSPQQPS27VH}

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	2026-07-05T06:04:50.696646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb05c9da94f6ae57fcd893e107cb5fa9d5e35eaa8d4044077367935c572a2794

Aliases

arxiv: 2204.10975 · arxiv_version: 2204.10975v2 · doi: 10.48550/arxiv.2204.10975 · pith_short_12: 7MC4TWUU62XF · pith_short_16: 7MC4TWUU62XFP7GY · pith_short_8: 7MC4TWUU

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/7MC4TWUU62XFP7GYSPQQPS27VH \
  | 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: fb05c9da94f6ae57fcd893e107cb5fa9d5e35eaa8d4044077367935c572a2794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ca6439f0a61f11108a77e816cebd43f747292c982484ef4096f8110e72565e",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-04-23T02:03:55Z",
    "title_canon_sha256": "9a6b0c736ff79400c7c42dd688c7d928043a7b0655c048d64688eae7200f2b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10975",
    "kind": "arxiv",
    "version": 2
  }
}