Pith Number

pith:YL3OQPRS

pith:2012:YL3OQPRS65FSKGB37JWBH7FKGO

not attested not anchored not stored refs pending

Superradiant phase transition in a model of three-level-lambda systems interacting with two bosonic modes

Clive Emary, Mathias Hayn, Tobias Brandes

arxiv:1209.3121 v2 · 2012-09-14 · 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{YL3OQPRS65FSKGB37JWBH7FKGO}

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	2026-05-18T03:38:02.605651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f6e83e32f74b25183bfa6c13fcaa3387597e174c86c7088972f9999fe9a917

Aliases

arxiv: 1209.3121 · arxiv_version: 1209.3121v2 · doi: 10.48550/arxiv.1209.3121 · pith_short_12: YL3OQPRS65FS · pith_short_16: YL3OQPRS65FSKGB3 · pith_short_8: YL3OQPRS

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/YL3OQPRS65FSKGB37JWBH7FKGO \
  | 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: c2f6e83e32f74b25183bfa6c13fcaa3387597e174c86c7088972f9999fe9a917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b58aee701df8120649641285b8b5a4a7f0a5e8d4f38e7c66dcffdcadb70c401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-14T08:22:42Z",
    "title_canon_sha256": "e3bcd656cae631b4a48e997ee9202b6d6ccff9f95f0be339d295a6fee6551795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3121",
    "kind": "arxiv",
    "version": 2
  }
}