Pith Number

pith:HMATXGOX

pith:2026:HMATXGOX3Q63OJ7XAUGZP3J56D

not attested not anchored not stored refs pending

Closed-form linear moments of the two-dimensional angular central Gaussian distribution

Sim\'eon Vareilles

arxiv:2605.31536 v1 · 2026-05-29 · math.ST · math-ph · math.MP · physics.data-an · 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{HMATXGOX3Q63OJ7XAUGZP3J56D}

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	2026-06-01T02:04:11.502175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b013b99d7dc3db727f7050d97ed3df0f35bcbd7cfc6010bf272d08049c50ada

Aliases

arxiv: 2605.31536 · arxiv_version: 2605.31536v1 · doi: 10.48550/arxiv.2605.31536 · pith_short_12: HMATXGOX3Q63 · pith_short_16: HMATXGOX3Q63OJ7X · pith_short_8: HMATXGOX

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/HMATXGOX3Q63OJ7XAUGZP3J56D \
  | 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: 3b013b99d7dc3db727f7050d97ed3df0f35bcbd7cfc6010bf272d08049c50ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf6f4dfc964ccabbe7cd2efbbe856cf375c41db4367d5010ecbf39e5b47756e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.data-an",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-29T16:53:42Z",
    "title_canon_sha256": "63eab90d39d3362206a8db5d992e2abfc42b23096388b2b12dc3b5579863323a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31536",
    "kind": "arxiv",
    "version": 1
  }
}