Pith Number

pith:2UMBCZPJ

pith:2012:2UMBCZPJIFXRF6PDQTI3DGATRV

not attested not anchored not stored refs pending

The BCS-Bogoliubov and the su(2)-Algebraic Approach to the Pairing Model in Many-Fermion System

C. Providencia (Univ. de Coimbra, Japan), J. da Providencia (Univ. de Coimbra, M. Yamamura (Kansai Univ., Portugal), Y. Tsue (Kochi Univ.

arxiv:1206.1644 v1 · 2012-06-08 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UMBCZPJIFXRF6PDQTI3DGATRV}

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	2026-05-18T03:41:42.478394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5181165e9416f12f9e384d1b198138d4d1f409aaf14722c99242784f6cf5560

Aliases

arxiv: 1206.1644 · arxiv_version: 1206.1644v1 · doi: 10.48550/arxiv.1206.1644 · pith_short_12: 2UMBCZPJIFXR · pith_short_16: 2UMBCZPJIFXRF6PD · pith_short_8: 2UMBCZPJ

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/2UMBCZPJIFXRF6PDQTI3DGATRV \
  | 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: d5181165e9416f12f9e384d1b198138d4d1f409aaf14722c99242784f6cf5560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d432c5db115a98517c53b62a1840fac7e8fa48fa045bfed497d557cb9deb5d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2012-06-08T00:43:12Z",
    "title_canon_sha256": "aa8dfb23d199db93b9015b322da046e13653a662065cb477d9bad94c1f2f3a3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1644",
    "kind": "arxiv",
    "version": 1
  }
}