Pith Number

pith:VBBGOZMC

pith:2019:VBBGOZMC63FZV3D3ELJTV2THXK

not attested not anchored not stored refs pending

Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition

Zhenhua Lin

arxiv:1908.09326 v1 · 2019-08-25 · math.DG · math.ST · 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{VBBGOZMC63FZV3D3ELJTV2THXK}

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	2026-07-05T01:36:15.334737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a842676582f6cb9aec7b22d33aea67ba99af437e20c75c9facc237b00717e81a

Aliases

arxiv: 1908.09326 · arxiv_version: 1908.09326v1 · doi: 10.48550/arxiv.1908.09326 · pith_short_12: VBBGOZMC63FZ · pith_short_16: VBBGOZMC63FZV3D3 · pith_short_8: VBBGOZMC

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/VBBGOZMC63FZV3D3ELJTV2THXK \
  | 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: a842676582f6cb9aec7b22d33aea67ba99af437e20c75c9facc237b00717e81a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14556e0299db21ab0660f28248d04e29b1dc4bec2606021302275cc166faa74",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-25T13:29:17Z",
    "title_canon_sha256": "319eabcc5146038d6e7362df1a17d2301a859952731e05ba903886b0726764a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09326",
    "kind": "arxiv",
    "version": 1
  }
}