Pith Number

pith:2LXTKIAV

pith:2016:2LXTKIAVJDJGWR2DRK5T7MD5AO

not attested not anchored not stored refs pending

Operator means of probability measures and generalized Karcher equations

Mikl\'os P\'alfia

arxiv:1601.06777 v1 · 2016-01-25 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LXTKIAVJDJGWR2DRK5T7MD5AO}

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

The Riemannian Means Field Classifier for EEG-Based BCI Data

Receipt and verification

First computed	2026-05-18T01:21:59.780311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ef35201548d26b47438abb3fb07d03bbe8dffd8faa46d74294a61ca1ea1199

Aliases

arxiv: 1601.06777 · arxiv_version: 1601.06777v1 · doi: 10.48550/arxiv.1601.06777 · pith_short_12: 2LXTKIAVJDJG · pith_short_16: 2LXTKIAVJDJGWR2D · pith_short_8: 2LXTKIAV

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/2LXTKIAVJDJGWR2DRK5T7MD5AO \
  | 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: d2ef35201548d26b47438abb3fb07d03bbe8dffd8faa46d74294a61ca1ea1199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa366600bc2925b2194774744e9af3ac143cb879f07f5530000d258e0cd39d47",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-25T09:19:50Z",
    "title_canon_sha256": "4614de121fb69cf43449bf23d4bff9d2665f29a865ef3e63b4a0f64dca53357e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06777",
    "kind": "arxiv",
    "version": 1
  }
}