Pith Number

pith:JMHABN3Q

pith:2025:JMHABN3QVKKYCXK5Y3N2USTA2A

not attested not anchored not stored refs pending

ParaToric 1.0: Continuous-time quantum Monte Carlo for the toric code in a parallel field

Lode Pollet, Simon M. Linsel

ParaToric implements continuous-time quantum Monte Carlo for the toric code in parallel X and Z fields across multiple lattices.

arxiv:2510.14781 v3 · 2025-10-16 · 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{JMHABN3QVKKYCXK5Y3N2USTA2A}

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.

Claims

C1strongest claim

We introduce ParaToric, a C++ package for simulating the toric code in a parallel field (i.e., X- and Z-fields) at finite temperature using the continuous-time quantum Monte Carlo algorithm of Wu, Deng, and Prokof'ev on square, triangular, honeycomb, and cubic lattices.

C2weakest assumption

The assumption that the implemented continuous-time quantum Monte Carlo algorithm correctly samples the equilibrium distribution of the toric code Hamiltonian without significant discretization errors or sampling biases for the chosen lattice geometries and boundary conditions.

C3one line summary

ParaToric is a new open-source C++ package that implements and extends continuous-time quantum Monte Carlo for the toric code in parallel fields on square, triangular, honeycomb, and cubic lattices with support for custom observables and snapshot extraction.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Quantized topological invariant of symmetry-projected Gibbs states

Receipt and verification

First computed	2026-06-10T14:10:44.518751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0e00b770aa95815d5dc6dbaa4a60d03b4078427044f02d93af2bb544819765

Aliases

arxiv: 2510.14781 · arxiv_version: 2510.14781v3 · doi: 10.48550/arxiv.2510.14781 · pith_short_12: JMHABN3QVKKY · pith_short_16: JMHABN3QVKKYCXK5 · pith_short_8: JMHABN3Q

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/JMHABN3QVKKYCXK5Y3N2USTA2A \
  | 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: 4b0e00b770aa95815d5dc6dbaa4a60d03b4078427044f02d93af2bb544819765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9966722e7ba4f2493f9eb6c6f281f9028b1b1fa5f47777530de37a73305ad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-16T15:16:13Z",
    "title_canon_sha256": "7d4062b5116af01dce2db92ca1bf9e2a52246118bbda4ed77e15e39415640412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.14781",
    "kind": "arxiv",
    "version": 3
  }
}