Pith Number

pith:BNVNRJZ6

pith:2015:BNVNRJZ6ZFBMGMFWWOBCF34W7S

not attested not anchored not stored refs pending

Parabolic Littlewood-Paley inequality for a class of time-dependent operators of arbitrary order, and applications to higher order stochastic PDE

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

arxiv:1503.02369 v1 · 2015-03-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNVNRJZ6ZFBMGMFWWOBCF34W7S}

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	2026-05-18T02:25:25.273718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6ad8a73ec942c330b6b38222ef96fc8020819e59d1f3e15ad62f12bc3bd11c

Aliases

arxiv: 1503.02369 · arxiv_version: 1503.02369v1 · doi: 10.48550/arxiv.1503.02369 · pith_short_12: BNVNRJZ6ZFBM · pith_short_16: BNVNRJZ6ZFBMGMFW · pith_short_8: BNVNRJZ6

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/BNVNRJZ6ZFBMGMFWWOBCF34W7S \
  | 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: 0b6ad8a73ec942c330b6b38222ef96fc8020819e59d1f3e15ad62f12bc3bd11c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51ac91ac2975d88cecf747d86f078f449e0119f46bc0350a062569f86dbcf20",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-09T04:05:12Z",
    "title_canon_sha256": "fb2fcb0734adbe961c24ed726928584342535d5fc4d05002a9e7653addcf13ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02369",
    "kind": "arxiv",
    "version": 1
  }
}