Pith Number

pith:5TU5L26B

pith:2012:5TU5L26BHQ7ACFVCLBQZL6BGX6

not attested not anchored not stored refs pending

Krein-Adler transformations for shape-invariant potentials and pseudo virtual states

Ryu Sasaki, Satoru Odake

arxiv:1212.6595 v2 · 2012-12-29 · math-ph · hep-th · math.CA · math.MP · nlin.SI · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TU5L26BHQ7ACFVCLBQZL6BGX6}

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	2026-05-18T01:52:22.927272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece9d5ebc13c3e0116a2586195f826bfb3421e351fec72509d70423293dc2544

Aliases

arxiv: 1212.6595 · arxiv_version: 1212.6595v2 · doi: 10.48550/arxiv.1212.6595 · pith_short_12: 5TU5L26BHQ7A · pith_short_16: 5TU5L26BHQ7ACFVC · pith_short_8: 5TU5L26B

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/5TU5L26BHQ7ACFVCLBQZL6BGX6 \
  | 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: ece9d5ebc13c3e0116a2586195f826bfb3421e351fec72509d70423293dc2544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc18aea09f8e2c3bba5dc1eff90bac0fd1f4514ef72dd62a17d66e652ec75a19",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-29T08:07:48Z",
    "title_canon_sha256": "18d4b9055b5466fbc689d7b4afcf4bc7e4c140cbf407f23c00982c5f72abc6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6595",
    "kind": "arxiv",
    "version": 2
  }
}