Pith Number

pith:DAUBAQN6

pith:2025:DAUBAQN6B6XIJK5ET5F7CSGDJP

not attested not anchored not stored refs pending

Expected Signature Kernels for L\'evy Rough Paths

Paul P. Hager, Peter K. Friz

arxiv:2509.07893 v1 · 2025-09-09 · math.PR · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAUBAQN6B6XIJK5ET5F7CSGDJP}

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	2026-07-05T12:07:41.914637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18281041be0fae84aba49f4bf148c34bcee3401e8089583ab8eb588f8e53a234

Aliases

arxiv: 2509.07893 · arxiv_version: 2509.07893v1 · doi: 10.48550/arxiv.2509.07893 · pith_short_12: DAUBAQN6B6XI · pith_short_16: DAUBAQN6B6XIJK5E · pith_short_8: DAUBAQN6

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/DAUBAQN6B6XIJK5ET5F7CSGDJP \
  | 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: 18281041be0fae84aba49f4bf148c34bcee3401e8089583ab8eb588f8e53a234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13589d98c9f2e8cb190dec3648c58131b797a58eb29ab865c8834e36065a8eaf",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-09T16:23:29Z",
    "title_canon_sha256": "ba00c663eb175e1168f2085ca03b1cd5c4c0dcd247d7b9ab3cc7395c69ac1b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07893",
    "kind": "arxiv",
    "version": 1
  }
}