Pith Number

pith:TGCZP36Q

pith:2015:TGCZP36Q6UMIRM5OEGBKV4EEVT

not attested not anchored not stored refs pending

New 1-step extension of the Swanson oscillator and superintegrability of its two-dimensional generalization

Bijan Bagchi, Ian Marquette

arxiv:1502.03165 v2 · 2015-02-11 · math-ph · math.MP · 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{TGCZP36Q6UMIRM5OEGBKV4EEVT}

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	2026-05-18T01:36:01.565325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998597efd0f51888b3ae2182aaf084acec487d867059edca24337ce55d9dfa1c

Aliases

arxiv: 1502.03165 · arxiv_version: 1502.03165v2 · doi: 10.48550/arxiv.1502.03165 · pith_short_12: TGCZP36Q6UMI · pith_short_16: TGCZP36Q6UMIRM5O · pith_short_8: TGCZP36Q

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/TGCZP36Q6UMIRM5OEGBKV4EEVT \
  | 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: 998597efd0f51888b3ae2182aaf084acec487d867059edca24337ce55d9dfa1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429f930af8ec1afde49110d89f9894ba15aa7c06636e33dfa5b69c1395bbcdab",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-11T01:17:30Z",
    "title_canon_sha256": "ad945c5eec7e23bf7688610649f479b5cd4d5f0d89bb92455f1f0a82f6f037ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03165",
    "kind": "arxiv",
    "version": 2
  }
}