Pith Number

pith:ETFWOOGV

pith:2013:ETFWOOGVLAJZEZVHFWK4ZCYZMU

not attested not anchored not stored refs pending

Extended Krein-Adler theorem for the translationally shape invariant potentials

David G\'omez-Ullate, Robert Milson, Yves Grandati

arxiv:1309.3756 v1 · 2013-09-15 · nlin.SI · 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{ETFWOOGVLAJZEZVHFWK4ZCYZMU}

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	2026-05-18T01:47:41.694904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cb6738d558139266a72d95cc8b19653466ce2f33840b1f959ccb58f2c6c41b

Aliases

arxiv: 1309.3756 · arxiv_version: 1309.3756v1 · doi: 10.48550/arxiv.1309.3756 · pith_short_12: ETFWOOGVLAJZ · pith_short_16: ETFWOOGVLAJZEZVH · pith_short_8: ETFWOOGV

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/ETFWOOGVLAJZEZVHFWK4ZCYZMU \
  | 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: 24cb6738d558139266a72d95cc8b19653466ce2f33840b1f959ccb58f2c6c41b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984ab77d8061204546586beadffbc32006a5c1c1ed55e30af493f549ab2bf33e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-09-15T13:10:04Z",
    "title_canon_sha256": "701dd75bc45c4ab62ff1920ebbacf6f0865f53318ea578ad18964fad61bfe945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3756",
    "kind": "arxiv",
    "version": 1
  }
}