Pith Number

pith:5R4LOLQT

pith:2019:5R4LOLQTKSYIFWKE4F2ECTXYHF

not attested not anchored not stored refs pending

Explicit formula for Schroedinger wave operators on the half-line for potentials up to optimal decay

Hideki Inoue

arxiv:1903.04242 v1 · 2019-03-11 · math.FA · 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{5R4LOLQTKSYIFWKE4F2ECTXYHF}

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	2026-05-17T23:51:36.089757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec78b72e1354b082d944e174414ef8395bea11ab942bb4b12c9d93415d252b03

Aliases

arxiv: 1903.04242 · arxiv_version: 1903.04242v1 · doi: 10.48550/arxiv.1903.04242 · pith_short_12: 5R4LOLQTKSYI · pith_short_16: 5R4LOLQTKSYIFWKE · pith_short_8: 5R4LOLQT

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/5R4LOLQTKSYIFWKE4F2ECTXYHF \
  | 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: ec78b72e1354b082d944e174414ef8395bea11ab942bb4b12c9d93415d252b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb82087455f5cd9481a8cf5a51f04b354c91c7cfb5133cea61718ab32e04fc03",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-11T12:11:38Z",
    "title_canon_sha256": "755e585fcc512853b456f0da278f19146245c49b41f460926b70a31ef84ac5b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04242",
    "kind": "arxiv",
    "version": 1
  }
}