Pith Number

pith:7ICIPLW5

pith:2007:7ICIPLW5X2C63LDMT6FUTF4HJI

not attested not anchored not stored refs pending

Differentiating sigma-fields for Gaussian and shifted Gaussian processes

Giovanni Peccati (LSTA), Ivan Nourdin (PMA), S\'ebastien Darses (PMA)

arxiv:math/0701910 v1 · 2007-01-31 · 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{7ICIPLW5X2C63LDMT6FUTF4HJI}

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	2026-05-18T01:09:15.496116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa0487aeddbe85edac6c9f8b4997874a2c64aaf27c049a19b97bfc179a05b6bb

Aliases

arxiv: math/0701910 · arxiv_version: math/0701910v1 · doi: 10.48550/arxiv.math/0701910 · pith_short_12: 7ICIPLW5X2C6 · pith_short_16: 7ICIPLW5X2C63LDM · pith_short_8: 7ICIPLW5

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/7ICIPLW5X2C63LDMT6FUTF4HJI \
  | 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: fa0487aeddbe85edac6c9f8b4997874a2c64aaf27c049a19b97bfc179a05b6bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90624b8b1d86067c4b9ec17ea63782baaa739794ef76fe773580d9221c1e494",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-01-31T07:53:42Z",
    "title_canon_sha256": "d9e016b61ee18f92e7486c73c3cfb70e13a56dd6ccd8b5b8dcb1cac910f40278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701910",
    "kind": "arxiv",
    "version": 1
  }
}