Pith Number

pith:X3MR44NZ

pith:2026:X3MR44NZ2BKS7J7MVIKZXAAL66

not attested not anchored not stored refs pending

Statistically and Computationally Optimal Estimation and Inference of Common Subspaces

Joshua Agterberg

arxiv:2606.06483 v1 · 2026-06-04 · math.ST · math.OC · math.SP · stat.ME · 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{X3MR44NZ2BKS7J7MVIKZXAAL66}

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	2026-06-05T01:15:46.882662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed91e71b9d0552fa7ecaa159b800bf7be9c59c3ef48f4ad1892b1e228ea4e7a

Aliases

arxiv: 2606.06483 · arxiv_version: 2606.06483v1 · doi: 10.48550/arxiv.2606.06483 · pith_short_12: X3MR44NZ2BKS · pith_short_16: X3MR44NZ2BKS7J7M · pith_short_8: X3MR44NZ

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/X3MR44NZ2BKS7J7MVIKZXAAL66 \
  | 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: bed91e71b9d0552fa7ecaa159b800bf7be9c59c3ef48f4ad1892b1e228ea4e7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ae3ffccbbb65ec79e943009d2ec803812d61d3a0b7eed08918de2152ed9a8e",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-04T17:58:14Z",
    "title_canon_sha256": "4eb037bbf7599d8ff03f38e9db97cf0a8a677da3906a1064f6b7ed1a732c0952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06483",
    "kind": "arxiv",
    "version": 1
  }
}