Pith Number

pith:ZJ6CVOCX

pith:2016:ZJ6CVOCXS7AXRXNNHNEOJDAGQU

not attested not anchored not stored refs pending

Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model

Mathias Hayn, Tobias Brandes

arxiv:1610.08051 v1 · 2016-10-25 · quant-ph · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJ6CVOCXS7AXRXNNHNEOJDAGQU}

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	2026-05-18T00:51:42.922290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca7c2ab85797c178ddad3b48e48c06852834e8911972c22a50a40ac84863578c

Aliases

arxiv: 1610.08051 · arxiv_version: 1610.08051v1 · doi: 10.48550/arxiv.1610.08051 · pith_short_12: ZJ6CVOCXS7AX · pith_short_16: ZJ6CVOCXS7AXRXNN · pith_short_8: ZJ6CVOCX

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/ZJ6CVOCXS7AXRXNNHNEOJDAGQU \
  | 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: ca7c2ab85797c178ddad3b48e48c06852834e8911972c22a50a40ac84863578c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5408f769f25eac17c0199114b7623d0416561cdf314d2d913d801a577956c515",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-25T12:03:00Z",
    "title_canon_sha256": "7369e55a38589263f2c82d97d4a60114d5fa9e33fc4afb059c6fa4cafef65ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08051",
    "kind": "arxiv",
    "version": 1
  }
}