Pith Number

pith:OSV2NUYF

pith:2015:OSV2NUYFM4TA2CECKDGHL55OSV

not attested not anchored not stored refs pending

Riemannian Gaussian Distributions on the Space of Symmetric Positive Definite Matrices

Jonathan Manton, Lionel Bombrun, Salem Said, Yannick Berthoumieu

arxiv:1507.01760 v2 · 2015-07-07 · 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{OSV2NUYFM4TA2CECKDGHL55OSV}

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	2026-05-18T00:55:34.480255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74aba6d30567260d088250cc75f7ae956074994901306dc87283251e666a16ad

Aliases

arxiv: 1507.01760 · arxiv_version: 1507.01760v2 · doi: 10.48550/arxiv.1507.01760 · pith_short_12: OSV2NUYFM4TA · pith_short_16: OSV2NUYFM4TA2CEC · pith_short_8: OSV2NUYF

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/OSV2NUYFM4TA2CECKDGHL55OSV \
  | 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: 74aba6d30567260d088250cc75f7ae956074994901306dc87283251e666a16ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0cd2a27ffba48e2efadef680ebe89da0bc1e026cda7d7dbd756c755d33182bb",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-07-07T11:43:36Z",
    "title_canon_sha256": "f5d1550023bcf89a67508b313f8cc75302ad107472af85e81042d4d169c4b321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01760",
    "kind": "arxiv",
    "version": 2
  }
}