Pith Number

pith:HIIVI2UN

pith:2013:HIIVI2UN444BMC7NALL3GJRZ4I

not attested not anchored not stored refs pending

An improved maximal inequality for 2D fractional order Schr\"{o}dinger operators

Changxing Miao, Jianwei Yang, Jiqiang Zheng

arxiv:1308.3359 v3 · 2013-08-15 · 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{HIIVI2UN444BMC7NALL3GJRZ4I}

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	2026-05-18T01:21:16.446809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a11546a8de738160bed02d7b32639e20a1fdb57ef3107b72669156558ee52e1

Aliases

arxiv: 1308.3359 · arxiv_version: 1308.3359v3 · doi: 10.48550/arxiv.1308.3359 · pith_short_12: HIIVI2UN444B · pith_short_16: HIIVI2UN444BMC7N · pith_short_8: HIIVI2UN

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/HIIVI2UN444BMC7NALL3GJRZ4I \
  | 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: 3a11546a8de738160bed02d7b32639e20a1fdb57ef3107b72669156558ee52e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a357b2305ab42d1f156a302591e837c15ab75e1da95a6e4c6f64e37438314f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-15T11:02:25Z",
    "title_canon_sha256": "1344706b74539be27030c4a4b5cc6598f6e589badc6b0b1bd9f7b9f77e84eaad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3359",
    "kind": "arxiv",
    "version": 3
  }
}