Pith Number

pith:RZMSTBTH

pith:2025:RZMSTBTHRNRIP5GJZTS6R2GGXQ

not attested not anchored not stored refs pending

Observable Covariance and Principal Observable Analysis for Data on Metric Spaces

Ece Karacam, Osman Berat Okutan, Washington Mio

arxiv:2506.04003 v1 · 2025-06-04 · 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{RZMSTBTHRNRIP5GJZTS6R2GGXQ}

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	2026-07-05T11:15:55.130406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e592986678b6287f4c9cce5e8e8c6bc3871d8a723016d570e93cc67b9cb4360

Aliases

arxiv: 2506.04003 · arxiv_version: 2506.04003v1 · doi: 10.48550/arxiv.2506.04003 · pith_short_12: RZMSTBTHRNRI · pith_short_16: RZMSTBTHRNRIP5GJ · pith_short_8: RZMSTBTH

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/RZMSTBTHRNRIP5GJZTS6R2GGXQ \
  | 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: 8e592986678b6287f4c9cce5e8e8c6bc3871d8a723016d570e93cc67b9cb4360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "012ff394f4c269672b9aa12b68d4bfc6433f033a38415262d5be7ad189287d24",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-04T14:31:55Z",
    "title_canon_sha256": "d3bface54023c375c37bd7a49de7056d7fb2a5f6548bbb6c2889048af7f679c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04003",
    "kind": "arxiv",
    "version": 1
  }
}