Pith Number

pith:HRXUJKHK

pith:2017:HRXUJKHK6WERGM2PG65VSJGAXO

not attested not anchored not stored refs pending

On the $L^p$ boundedness of wave operators for two-dimensional Schr\"odinger operators with threshold obstructions

Burak Erdogan, Michael Goldberg, William R. Green

arxiv:1706.01530 v2 · 2017-06-05 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRXUJKHK6WERGM2PG65VSJGAXO}

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	2026-05-18T00:05:56.689161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6f44a8eaf58913334f37bb5924c0bbbba54812b4b234a03ef00cf90e0b4b96

Aliases

arxiv: 1706.01530 · arxiv_version: 1706.01530v2 · doi: 10.48550/arxiv.1706.01530 · pith_short_12: HRXUJKHK6WER · pith_short_16: HRXUJKHK6WERGM2P · pith_short_8: HRXUJKHK

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/HRXUJKHK6WERGM2PG65VSJGAXO \
  | 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: 3c6f44a8eaf58913334f37bb5924c0bbbba54812b4b234a03ef00cf90e0b4b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e336991ec647bcd77fd41602616a9a70f2d3c708af251f1e0fd90184ca995b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-05T20:32:29Z",
    "title_canon_sha256": "79664af261931431706c81003687813a19ff57bf1cfb30e3aedda95fe826e871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01530",
    "kind": "arxiv",
    "version": 2
  }
}