Pith Number

pith:6H46IOPT

pith:2015:6H46IOPTJUZP2UAQTCYE4OYU6N

not attested not anchored not stored refs pending

A Simple Expression for Mill's Ratio of the Student's $t$-Distribution

Francesco Orabona

arxiv:1502.01632 v1 · 2015-02-05 · cs.LG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6H46IOPTJUZP2UAQTCYE4OYU6N}

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	2026-05-18T02:27:51.660270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f9e439f34d32fd501098b04e3b14f36c15cbce0cadfff364e8e50321eadbbe

Aliases

arxiv: 1502.01632 · arxiv_version: 1502.01632v1 · doi: 10.48550/arxiv.1502.01632 · pith_short_12: 6H46IOPTJUZP · pith_short_16: 6H46IOPTJUZP2UAQ · pith_short_8: 6H46IOPT

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/6H46IOPTJUZP2UAQTCYE4OYU6N \
  | 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: f1f9e439f34d32fd501098b04e3b14f36c15cbce0cadfff364e8e50321eadbbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af9985166c5376098edfce65306c49a5b172e71b2cb0686eb6598905bc0a2ac",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-02-05T16:37:31Z",
    "title_canon_sha256": "af57206a03ff27cceb218d8dde0f47db3fb01aedbecdb91c09207c46735d904d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01632",
    "kind": "arxiv",
    "version": 1
  }
}