Pith Number

pith:2W3B3XZB

pith:2015:2W3B3XZB2OBN2SFHDOY6R7XAGG

not attested not anchored not stored refs pending

The Joint Projected and Skew Normal

Gianluca Mastrantonio

arxiv:1512.00487 v2 · 2015-12-01 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2W3B3XZB2OBN2SFHDOY6R7XAGG}

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	2026-05-18T01:11:54.900171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b61ddf21d382dd48a71bb1e8fee031bd7c11b363f361a2ec9bca419b5a3fe7

Aliases

arxiv: 1512.00487 · arxiv_version: 1512.00487v2 · doi: 10.48550/arxiv.1512.00487 · pith_short_12: 2W3B3XZB2OBN · pith_short_16: 2W3B3XZB2OBN2SFH · pith_short_8: 2W3B3XZB

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/2W3B3XZB2OBN2SFHDOY6R7XAGG \
  | 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: d5b61ddf21d382dd48a71bb1e8fee031bd7c11b363f361a2ec9bca419b5a3fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0431fb4f2472192554391ab73bb1abc963166d3c3454aebae6d3f10f363b400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2015-12-01T21:24:46Z",
    "title_canon_sha256": "9b03b6a08f7d1e77f327b896ad11bad72eabe2f09214bf35958a7e8813cd5bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00487",
    "kind": "arxiv",
    "version": 2
  }
}