Pith Number

pith:MFFOPIRW

pith:2012:MFFOPIRWSF53PQWPHOFEFI5FL2

not attested not anchored not stored refs pending

Spectral theory for Gaussian processes: Reproducing kernels, random functions, boundaries, and $\mathbf L^2$-wavelet generators with fractional scales

Daniel Alpay, Palle Jorgensen

arxiv:1208.2918 v1 · 2012-08-14 · math.FA · 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{MFFOPIRWSF53PQWPHOFEFI5FL2}

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	2026-05-18T03:48:46.919779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614ae7a236917bb7c2cf3b8a42a3a55e9cdd24ab999fabe4eb9a410817bf6dcd

Aliases

arxiv: 1208.2918 · arxiv_version: 1208.2918v1 · doi: 10.48550/arxiv.1208.2918 · pith_short_12: MFFOPIRWSF53 · pith_short_16: MFFOPIRWSF53PQWP · pith_short_8: MFFOPIRW

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/MFFOPIRWSF53PQWPHOFEFI5FL2 \
  | 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: 614ae7a236917bb7c2cf3b8a42a3a55e9cdd24ab999fabe4eb9a410817bf6dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f099774ca694232925fc5c18bf5b43ed467cb9978e8a8280f32e0b9d475519a9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-14T16:44:38Z",
    "title_canon_sha256": "a91a2fc395e94b905c46cfec0233ddd2b6c00e827483415564787a0d21ac8759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2918",
    "kind": "arxiv",
    "version": 1
  }
}