Pith Number

pith:W5HK3MLL

pith:2010:W5HK3MLLSEWCODHWBLHIBLQ7PN

not attested not anchored not stored refs pending

A class of Gaussian processes with fractional spectral measures

Daniel Alpay, David Levanony, Palle Jorgensen

arxiv:1009.0233 v1 · 2010-09-01 · 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{W5HK3MLLSEWCODHWBLHIBLQ7PN}

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	2026-05-18T04:41:35.338352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b74eadb16b912c270cf60ace80ae1f7b44c5a90771a9309bfe0bf505b1881fd2

Aliases

arxiv: 1009.0233 · arxiv_version: 1009.0233v1 · doi: 10.48550/arxiv.1009.0233 · pith_short_12: W5HK3MLLSEWC · pith_short_16: W5HK3MLLSEWCODHW · pith_short_8: W5HK3MLL

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/W5HK3MLLSEWCODHWBLHIBLQ7PN \
  | 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: b74eadb16b912c270cf60ace80ae1f7b44c5a90771a9309bfe0bf505b1881fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ae5d752446d7678e6ccb1d7d9bb3d44b65a184b3cae3c1ee8d35b200ffc966e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-01T17:59:50Z",
    "title_canon_sha256": "375f574af2f389925e159cb1d8ecbd2c676cbd3c821ce670539a3af78824ba31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0233",
    "kind": "arxiv",
    "version": 1
  }
}