Pith Number

pith:QKICIUYO

pith:2007:QKICIUYOK6SXU4MI2WKYL4J3PY

not attested not anchored not stored refs pending

Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels

Alexandre M. Gavrilik, Anastasiya P. Rebesh

arxiv:0710.0841 v3 · 2007-10-03 · quant-ph · hep-th · 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{QKICIUYOK6SXU4MI2WKYL4J3PY}

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	2026-07-04T15:34:53.595666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

829024530e57a57a7188d59585f13b7e1fcc789aa31087662ffb9b77dd0e5ea9

Aliases

arxiv: 0710.0841 · arxiv_version: 0710.0841v3 · doi: 10.48550/arxiv.0710.0841 · pith_short_12: QKICIUYOK6SX · pith_short_16: QKICIUYOK6SXU4MI · pith_short_8: QKICIUYO

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/QKICIUYOK6SXU4MI2WKYL4J3PY \
  | 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: 829024530e57a57a7188d59585f13b7e1fcc789aa31087662ffb9b77dd0e5ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277df184473390962a36b4e64173407d74e500eba81365a965fcba461c160d89",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-10-03T17:43:27Z",
    "title_canon_sha256": "43ae26f074049c77562d4bb1f743dc28ffa3cbac74ff2103e005092119dd429b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0841",
    "kind": "arxiv",
    "version": 3
  }
}