Pith Number

pith:BYDRAJ3X

pith:2005:BYDRAJ3XEFO2WCCCTXDLNHZ3DY

not attested not anchored not stored refs pending

The central limit problem for random vectors with symmetries

Elizabeth S. Meckes, Mark W. Meckes

arxiv:math/0505618 v3 · 2005-05-27 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYDRAJ3XEFO2WCCCTXDLNHZ3DY}

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	2026-05-18T01:05:23.424788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e07102777215dab08429dc6b69f3b1e09c13d8219cea1dab3805b4048b77bc6

Aliases

arxiv: math/0505618 · arxiv_version: math/0505618v3 · doi: 10.48550/arxiv.math/0505618 · pith_short_12: BYDRAJ3XEFO2 · pith_short_16: BYDRAJ3XEFO2WCCC · pith_short_8: BYDRAJ3X

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/BYDRAJ3XEFO2WCCCTXDLNHZ3DY \
  | 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: 0e07102777215dab08429dc6b69f3b1e09c13d8219cea1dab3805b4048b77bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea16cb2fca403ea3aed4ea3e977569398ee1ac898a87bb0b7b939b113c9914ae",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-05-27T23:07:27Z",
    "title_canon_sha256": "c23a04f7aa97ae8f167318ccb8408d929b95df2a566bc722ffeea8c8a1c3829e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505618",
    "kind": "arxiv",
    "version": 3
  }
}