Pith Number

pith:YUW63GAF

pith:2019:YUW63GAFZGUPU5UT2LX2JHZTUD

not attested not anchored not stored refs pending

Notes on the Cauchy problem for the self-adjoint and non-self-adjoint Schroedinger equations with polynomially growing potentials

T. Aoki, W. Ichinose

arxiv:1903.05465 v1 · 2019-03-12 · 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{YUW63GAFZGUPU5UT2LX2JHZTUD}

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	2026-05-17T23:51:20.871354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c52ded9805c9a8fa7693d2efa49f33a0ff0233d47d5a8c10d657a907c2a5e5c0

Aliases

arxiv: 1903.05465 · arxiv_version: 1903.05465v1 · doi: 10.48550/arxiv.1903.05465 · pith_short_12: YUW63GAFZGUP · pith_short_16: YUW63GAFZGUPU5UT · pith_short_8: YUW63GAF

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/YUW63GAFZGUPU5UT2LX2JHZTUD \
  | 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: c52ded9805c9a8fa7693d2efa49f33a0ff0233d47d5a8c10d657a907c2a5e5c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f6f9ca0146533bcb17663f78589ec652147906748164631f418b0f3fb7528cc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-12T01:44:58Z",
    "title_canon_sha256": "49970fb3600bb4ad653763783c524771fec5ced3f814ccbcbaa8149f6e9a5e17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05465",
    "kind": "arxiv",
    "version": 1
  }
}