Pith Number

pith:VBMBV6LY

pith:2016:VBMBV6LYQ7DO3QVITYMJ5ICXBB

not attested not anchored not stored refs pending

$L^p$ mapping properties for nonlocal Schr\"odinger operators with certain potential

Woocheol Choi, Yong-Cheol Kim

arxiv:1612.07144 v1 · 2016-12-15 · math.CA · 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{VBMBV6LYQ7DO3QVITYMJ5ICXBB}

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	2026-05-18T00:54:14.584673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8581af97887c6edc2a89e189ea057084af26bf5621589a7a6c7715d7b67a819

Aliases

arxiv: 1612.07144 · arxiv_version: 1612.07144v1 · doi: 10.48550/arxiv.1612.07144 · pith_short_12: VBMBV6LYQ7DO · pith_short_16: VBMBV6LYQ7DO3QVI · pith_short_8: VBMBV6LY

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/VBMBV6LYQ7DO3QVITYMJ5ICXBB \
  | 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: a8581af97887c6edc2a89e189ea057084af26bf5621589a7a6c7715d7b67a819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ca9786fb65c9a1a96c5ccee7f87571e21b2079991d8a566d7f50c803fca18e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-15T11:13:35Z",
    "title_canon_sha256": "10359197aa8cca42e87a70e146a3b9de716f428a9922312fd21c91dd8ad75437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07144",
    "kind": "arxiv",
    "version": 1
  }
}