Pith Number

pith:EKQVU7O6

pith:2019:EKQVU7O64BNM3TZ5QE5FXDLRMQ

not attested not anchored not stored refs pending

Wave front set of solutions to Schr\"odinger equations with perturbed harmonic oscillators

Keiichi Kato, Shingo Ito

arxiv:1908.08358 v2 · 2019-08-22 · 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{EKQVU7O64BNM3TZ5QE5FXDLRMQ}

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	2026-07-05T00:12:29.241171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a15a7ddee05acdcf3d813a5b8d716433d296987139da22cd1e419e20a73958

Aliases

arxiv: 1908.08358 · arxiv_version: 1908.08358v2 · doi: 10.48550/arxiv.1908.08358 · pith_short_12: EKQVU7O64BNM · pith_short_16: EKQVU7O64BNM3TZ5 · pith_short_8: EKQVU7O6

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/EKQVU7O64BNM3TZ5QE5FXDLRMQ \
  | 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: 22a15a7ddee05acdcf3d813a5b8d716433d296987139da22cd1e419e20a73958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c2005e827f168faf3b926284bbf584c3971df888de54954a9be1e946b29c32b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-22T13:26:03Z",
    "title_canon_sha256": "f6b56970e6d9d97271f68e4d803503a9240cf8fd6711cf63413005d99869403b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08358",
    "kind": "arxiv",
    "version": 2
  }
}