Pith Number

pith:MQGXMSW5

pith:1999:MQGXMSW5UEHOLD34YHES7WNY24

not attested not anchored not stored refs pending

Complex Eigenvalues of the Parabolic Potential Barrier and Gel'fand Triplet

Toshiki Shimbori, Tsunehiro Kobayashi

arxiv:math-ph/9910009 v1 · 1999-10-04 · 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{MQGXMSW5UEHOLD34YHES7WNY24}

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.

Cited by

1 paper in Pith

pp-Waves and the Hidden Symmetries of Black Hole Quasinormal Modes

Receipt and verification

First computed	2026-07-04T14:34:11.610171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

640d764adda10ee58f7cc1c92fd9b8d735b1e4c630c74cc03fc7034a6904a482

Aliases

arxiv: math-ph/9910009 · arxiv_version: math-ph/9910009v1 · doi: 10.48550/arxiv.math-ph/9910009 · pith_short_12: MQGXMSW5UEHO · pith_short_16: MQGXMSW5UEHOLD34 · pith_short_8: MQGXMSW5

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/MQGXMSW5UEHOLD34YHES7WNY24 \
  | 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: 640d764adda10ee58f7cc1c92fd9b8d735b1e4c630c74cc03fc7034a6904a482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e6a34bb11419dc4005334e6f96b37ac905722e4aa8f55464df47b0fee67637",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-10-04T10:49:44Z",
    "title_canon_sha256": "24f9d087eb4404a52676f45513a8602231d3d0c7fcbbddee10923db588555336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9910009",
    "kind": "arxiv",
    "version": 1
  }
}