Pith Number

pith:7POZTZD4

pith:2010:7POZTZD4WJ7RPH2DOTSHXBBOLU

not attested not anchored not stored refs pending

Karhunen-Loeve expansions of alpha-Wiener bridges

Endre Igloi, Matyas Barczy

arxiv:1007.2904 v2 · 2010-07-17 · 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{7POZTZD4WJ7RPH2DOTSHXBBOLU}

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	2026-05-18T04:32:11.844521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbdd99e47cb27f179f4374e47b842e5d0d3de6aca09ba113dd626bbe871d68df

Aliases

arxiv: 1007.2904 · arxiv_version: 1007.2904v2 · doi: 10.48550/arxiv.1007.2904 · pith_short_12: 7POZTZD4WJ7R · pith_short_16: 7POZTZD4WJ7RPH2D · pith_short_8: 7POZTZD4

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/7POZTZD4WJ7RPH2DOTSHXBBOLU \
  | 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: fbdd99e47cb27f179f4374e47b842e5d0d3de6aca09ba113dd626bbe871d68df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7cbbf40200cd68dbbf526ea33f51c57ddc5f14a50b128166388277744c90c25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-17T07:58:38Z",
    "title_canon_sha256": "f3e7bfaf190262ae8abf4723bcc4126df989678b43d6334ff265349de7414992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2904",
    "kind": "arxiv",
    "version": 2
  }
}