Pith Number

pith:YZ7UK3SM

pith:2014:YZ7UK3SMGMDN4IFTFBAW4GEUTA

not attested not anchored not stored refs pending

On conditional moments of high-dimensional random vectors given lower-dimensional projections

Hannes Leeb, Lukas Steinberger

arxiv:1405.2183 v2 · 2014-05-09 · 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{YZ7UK3SMGMDN4IFTFBAW4GEUTA}

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	2026-05-18T00:05:14.981128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67f456e4c3306de20b328416e1894980a02cbe7e573f9da957260f10acdf961

Aliases

arxiv: 1405.2183 · arxiv_version: 1405.2183v2 · doi: 10.48550/arxiv.1405.2183 · pith_short_12: YZ7UK3SMGMDN · pith_short_16: YZ7UK3SMGMDN4IFT · pith_short_8: YZ7UK3SM

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/YZ7UK3SMGMDN4IFTFBAW4GEUTA \
  | 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: c67f456e4c3306de20b328416e1894980a02cbe7e573f9da957260f10acdf961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e13a89f91bba649466ff414cb2566601fa4aedaceacc45b0e013e2df34cb6d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-05-09T09:26:33Z",
    "title_canon_sha256": "4c09b7b02864ac4f488a4c2c7874a11fc30f9d7b5d5bad4895752f71d0e3fc86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2183",
    "kind": "arxiv",
    "version": 2
  }
}