Pith Number

pith:OKUDXXLJ

pith:2013:OKUDXXLJPGOPK4645WDFE7RRA4

not attested not anchored not stored refs pending

Wavelets, Multiplier spaces and application to Schr\"{o}dinger type operators with non-smooth potentials

Pengtao Li, Qixiang Yang, Yueping Zhu

arxiv:1301.0696 v1 · 2013-01-04 · 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{OKUDXXLJPGOPK4645WDFE7RRA4}

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	2026-05-18T03:37:17.871788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a83bdd69799cf573dced86527e3107384a07542142cfd9fe30969d357e9dcf

Aliases

arxiv: 1301.0696 · arxiv_version: 1301.0696v1 · doi: 10.48550/arxiv.1301.0696 · pith_short_12: OKUDXXLJPGOP · pith_short_16: OKUDXXLJPGOPK464 · pith_short_8: OKUDXXLJ

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/OKUDXXLJPGOPK4645WDFE7RRA4 \
  | 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: 72a83bdd69799cf573dced86527e3107384a07542142cfd9fe30969d357e9dcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7bb8c951b95ad1a718ba888c57e7d60d8826a2486ba58491986312b7776bc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-04T10:24:40Z",
    "title_canon_sha256": "4851c7e20a3312714ce02e4b21998ac0e7cfe4d1be9cb645dcd48b2c6bcec14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0696",
    "kind": "arxiv",
    "version": 1
  }
}