Pith Number

pith:TN4OCLF7

pith:2012:TN4OCLF7R62CQZ63BKJCSDIT4F

not attested not anchored not stored refs pending

Dicke-Hepp-Lieb Superradiant Phase Transition and Independent Modes Model in Quantum Optomechanics

Aranya B Bhattacherjee

arxiv:1210.5014 v2 · 2012-10-18 · 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{TN4OCLF7R62CQZ63BKJCSDIT4F}

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	2026-05-18T01:53:46.862305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b78e12cbf8fb42867db0a92290d13e14b49ff2ffb068e6a4acaca205273c08d

Aliases

arxiv: 1210.5014 · arxiv_version: 1210.5014v2 · doi: 10.48550/arxiv.1210.5014 · pith_short_12: TN4OCLF7R62C · pith_short_16: TN4OCLF7R62CQZ63 · pith_short_8: TN4OCLF7

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/TN4OCLF7R62CQZ63BKJCSDIT4F \
  | 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: 9b78e12cbf8fb42867db0a92290d13e14b49ff2ffb068e6a4acaca205273c08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4131eb113bdf4fef0de16570248f4dc0db7f64404182759717ad60a8568510fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-18T03:25:59Z",
    "title_canon_sha256": "90acbbfd878619c62ee8aa47904bf3ea9761215befd9bde9e10c60f0b3ccbeb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5014",
    "kind": "arxiv",
    "version": 2
  }
}