Pith Number

pith:EHVX73VJ

pith:2009:EHVX73VJK7O6E3H5BL73P3CRQ6

not attested not anchored not stored refs pending

Expansions for Gaussian processes and Parseval frames

Gilles Pag\`es (PMA), Harald Luschgy

arxiv:0902.2563 v1 · 2009-02-15 · 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{EHVX73VJK7O6E3H5BL73P3CRQ6}

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	2026-05-18T03:29:16.697627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21eb7feea957dde26cfd0affb7ec518792acdd4086d1f101bd3d4d3c24f00184

Aliases

arxiv: 0902.2563 · arxiv_version: 0902.2563v1 · doi: 10.48550/arxiv.0902.2563 · pith_short_12: EHVX73VJK7O6 · pith_short_16: EHVX73VJK7O6E3H5 · pith_short_8: EHVX73VJ

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/EHVX73VJK7O6E3H5BL73P3CRQ6 \
  | 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: 21eb7feea957dde26cfd0affb7ec518792acdd4086d1f101bd3d4d3c24f00184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefe83892df905a59edaebcb56c7c54e08b671ff5b8119e343c3d955bb076770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-15T19:39:58Z",
    "title_canon_sha256": "3dbbe7818a1139372f5122b1bc297818cc96706d68e371fd6ca31e0a5ab0c8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2563",
    "kind": "arxiv",
    "version": 1
  }
}