Pith Number

pith:5K4Y5MGD

pith:2026:5K4Y5MGDZ7A22KBL3UEY55HK65

not attested not anchored not stored refs pending

Multiscale Asymptotic Analysis of Kernel-Smoothed Solutions to Fractional Riesz-Bessel Equations with Random Initial Conditions

Andriy Olenko, Shahid Khan

arxiv:2605.29469 v1 · 2026-05-28 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5K4Y5MGDZ7A22KBL3UEY55HK65}

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	2026-05-29T01:05:41.205884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab98eb0c3cfc1ad282bdd098ef4eaf77cebc5594d197d688983c799fdc5e2f3

Aliases

arxiv: 2605.29469 · arxiv_version: 2605.29469v1 · doi: 10.48550/arxiv.2605.29469 · pith_short_12: 5K4Y5MGDZ7A2 · pith_short_16: 5K4Y5MGDZ7A22KBL · pith_short_8: 5K4Y5MGD

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/5K4Y5MGDZ7A22KBL3UEY55HK65 \
  | 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: eab98eb0c3cfc1ad282bdd098ef4eaf77cebc5594d197d688983c799fdc5e2f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5143ca35247081bc0326362e640f1f19813e64e9f0f85739c687ca1b5c98362d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-28T07:02:03Z",
    "title_canon_sha256": "1fb93c93778e039ccb48871bb3d67cefbd4415cf4f2202f6490cf726f19466d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29469",
    "kind": "arxiv",
    "version": 1
  }
}