Pith Number

pith:5IBAAMYM

pith:2019:5IBAAMYMNOSEFPTPYSH2ZJDCIU

not attested not anchored not stored refs pending

New deterministic approaches to the least square mean

Eduardo Ghiglioni

arxiv:1907.03365 v1 · 2019-07-07 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IBAAMYMNOSEFPTPYSH2ZJDCIU}

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	2026-05-17T23:41:16.436610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0200330c6ba442be6fc48faca46245355fb60db6bc9fbe2357e27d26d63339

Aliases

arxiv: 1907.03365 · arxiv_version: 1907.03365v1 · doi: 10.48550/arxiv.1907.03365 · pith_short_12: 5IBAAMYMNOSE · pith_short_16: 5IBAAMYMNOSEFPTP · pith_short_8: 5IBAAMYM

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/5IBAAMYMNOSEFPTPYSH2ZJDCIU \
  | 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: ea0200330c6ba442be6fc48faca46245355fb60db6bc9fbe2357e27d26d63339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2925ab98f7e9140226245ed3f3bdde7fdfe3cec57cdf2f676ed0f6a82c05888",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-07T23:24:35Z",
    "title_canon_sha256": "fde73c2fbf26d63d145ae5e8cea5f9e40e1194842b5e5960913602106eaa595a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03365",
    "kind": "arxiv",
    "version": 1
  }
}