Pith Number

pith:C2HXG4KU

pith:2026:C2HXG4KUAVNYVHGS3WGSE322U3

not attested not anchored not stored refs pending

Sobolev-Mercer Expansions and Applications to Stochastic Processes

Daniel Constantin Rademacher

arxiv:2606.30786 v1 · 2026-06-29 · 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{C2HXG4KUAVNYVHGS3WGSE322U3}

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	2026-07-01T00:17:16.854599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

168f737154055b8a9cd2dd8d226f5aa6cc6480f7af595c30e00b3ea4ad889cba

Aliases

arxiv: 2606.30786 · arxiv_version: 2606.30786v1 · doi: 10.48550/arxiv.2606.30786 · pith_short_12: C2HXG4KUAVNY · pith_short_16: C2HXG4KUAVNYVHGS · pith_short_8: C2HXG4KU

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/C2HXG4KUAVNYVHGS3WGSE322U3 \
  | 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: 168f737154055b8a9cd2dd8d226f5aa6cc6480f7af595c30e00b3ea4ad889cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8d96c632f8e921d680765b5e191be37cc5fa6b04096a2b104a738b39e864b4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-29T18:15:36Z",
    "title_canon_sha256": "f137d2c516f9c11980a2ee3d58caf31e59998b57e74efcba1ce9aa5de528b5a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30786",
    "kind": "arxiv",
    "version": 1
  }
}