Pith Number

pith:LHIU4EW7

pith:2015:LHIU4EW7TK7KJEPG226ZS6AQDB

not attested not anchored not stored refs pending

The $L^p$ boundedness of wave operators for Schr\"odinger Operators with threshold singularities

Michael Goldberg, William R. Green

arxiv:1508.06300 v3 · 2015-08-25 · 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{LHIU4EW7TK7KJEPG226ZS6AQDB}

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	2026-05-18T00:05:56.929217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d14e12df9abea491e6d6bd997810184cdaf7cc19a745f95247632ea0e0585e

Aliases

arxiv: 1508.06300 · arxiv_version: 1508.06300v3 · doi: 10.48550/arxiv.1508.06300 · pith_short_12: LHIU4EW7TK7K · pith_short_16: LHIU4EW7TK7KJEPG · pith_short_8: LHIU4EW7

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/LHIU4EW7TK7KJEPG226ZS6AQDB \
  | 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: 59d14e12df9abea491e6d6bd997810184cdaf7cc19a745f95247632ea0e0585e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c98a219aaca7bc428d648fd4f912786f4489d0fc135760549f4bed2ab4fc36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-25T20:37:02Z",
    "title_canon_sha256": "ea5d81297d472edfc5f89935716509e9ac93e0b225e6b9e3e902563f32dbe1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06300",
    "kind": "arxiv",
    "version": 3
  }
}