Pith Number

pith:X2FJO4RZ

pith:2018:X2FJO4RZKXPHMTMDV3XQO457EO

not attested not anchored not stored refs pending

Geometrical and statistical properties of M-estimates of scatter on Grassmann manifolds

Christian Mazza, Corina Ciobotaru

arxiv:1812.11605 v2 · 2018-12-30 · math.ST · math.DG · 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{X2FJO4RZKXPHMTMDV3XQO457EO}

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.

Cited by

1 paper in Pith

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Receipt and verification

First computed	2026-07-05T01:30:37.871626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be8a97723955de764d83aeef0773bf23b7b8abca5c90e853f5b1eb1ebf733d5a

Aliases

arxiv: 1812.11605 · arxiv_version: 1812.11605v2 · doi: 10.48550/arxiv.1812.11605 · pith_short_12: X2FJO4RZKXPH · pith_short_16: X2FJO4RZKXPHMTMD · pith_short_8: X2FJO4RZ

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/X2FJO4RZKXPHMTMDV3XQO457EO \
  | 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: be8a97723955de764d83aeef0773bf23b7b8abca5c90e853f5b1eb1ebf733d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b5ea0af3d9a7695a4271792ac6c1a74a677d072c57b04f3e4ef2213b317767",
    "cross_cats_sorted": [
      "math.DG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-12-30T20:26:11Z",
    "title_canon_sha256": "00ed77e0cfeef6815899db41fac206f0f84453c16d0a2fc2f52abb6d3cbee6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11605",
    "kind": "arxiv",
    "version": 2
  }
}