Pith Number

pith:QTWY4JI6

pith:2017:QTWY4JI6WPBYYH7MRZ4AGMZFMU

not attested not anchored not stored refs pending

Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces

Andr\'as Vasy

arxiv:1712.09650 v1 · 2017-12-27 · math.AP · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTWY4JI6WPBYYH7MRZ4AGMZFMU}

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	2026-05-18T00:27:07.703792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ed8e251eb3c38c1fec8e780333256509af0d83ff386f6095325e1eea92dabf

Aliases

arxiv: 1712.09650 · arxiv_version: 1712.09650v1 · doi: 10.48550/arxiv.1712.09650 · pith_short_12: QTWY4JI6WPBY · pith_short_16: QTWY4JI6WPBYYH7M · pith_short_8: QTWY4JI6

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/QTWY4JI6WPBYYH7MRZ4AGMZFMU \
  | 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: 84ed8e251eb3c38c1fec8e780333256509af0d83ff386f6095325e1eea92dabf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37cec5dc725786e2c8c7064f090f0942ca1ff0a7c1775d74d2294e34ad751892",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-27T18:40:49Z",
    "title_canon_sha256": "b50d218c42c021252d9527acca5c793c6ef8da0ae14fee0eaf2573900f908dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09650",
    "kind": "arxiv",
    "version": 1
  }
}