pith. sign in
Pith Number

pith:HHF4YRXT

pith:2014:HHF4YRXTYFOKFPEETHGU7PWB2N
not attested not anchored not stored refs pending

Beyond the Schwinger boson representation of the su(2)-algebra. I -- New boson representation based on the su(1,1)-algebra and its related problems with application

Constanca Providencia (Univ. de Coimbra, Japan), Joao da Providencia (Univ. de Coimbra, Masatoshi Yamamura (Kansai Univ., Portugal), Yasuhiko Tsue (Kochi Univ.

arxiv:1409.3626 v1 · 2014-09-12 · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HHF4YRXTYFOKFPEETHGU7PWB2N}

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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 2026-05-18T02:19:28.307906Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

39cbcc46f3c15ca2bc8499cd4fbec1d36f8dd21fc2fb77ca78a6c97b6c2fb39e

Aliases

arxiv: 1409.3626 · arxiv_version: 1409.3626v1 · doi: 10.48550/arxiv.1409.3626 · pith_short_12: HHF4YRXTYFOK · pith_short_16: HHF4YRXTYFOKFPEE · pith_short_8: HHF4YRXT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HHF4YRXTYFOKFPEETHGU7PWB2N \
  | 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: 39cbcc46f3c15ca2bc8499cd4fbec1d36f8dd21fc2fb77ca78a6c97b6c2fb39e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4ce33ae66a1530d17b7d25f011068efebdc4b8a4f19962695af67d5da665108b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2014-09-12T00:40:41Z",
    "title_canon_sha256": "ac10aac61b6d4773da7e1a5229616c3d0010a4909ffcf03acc5168ea709cd5c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3626",
    "kind": "arxiv",
    "version": 1
  }
}