Pith Number

pith:Y7JLRYFC

pith:2026:Y7JLRYFCESTFXAB2MF4WFIUYLT

not attested not anchored not stored refs pending

Intrinsic Pointer Basis and Irreversible Classicality from Coherence Contraction

Jos\'e J. Gil

For Markovian dynamics with Lindblad operators diagonal in an intrinsic basis, quantum coherences decay exponentially and supply a state-dependent classicality index.

arxiv:2604.23304 v2 · 2026-04-25 · 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{Y7JLRYFCESTFXAB2MF4WFIUYLT}

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

For the class of Markovian open-system dynamics whose Lindblad operators are diagonal in the IRB, we prove that the quadratic coherence functional is a Lyapunov functional under pure-dephasing or interaction-picture evolution, with each intrinsic coherence component decaying exponentially at a computable rate. This yields a canonical state-dependent operational classicality criterion via the normalized cohesion index.

C2weakest assumption

The Lindblad operators are diagonal in the IRB (or the dynamics are pure dephasing in the interaction picture); this class-specific assumption is required for the Lyapunov property and exponential decay to hold, and the fixed conjugation K must be chosen by external convention or symmetry.

C3one line summary

In an intrinsic reference basis from the density operator's real symmetric part, coherence decays exponentially under diagonal-Lindblad Markovian dynamics, yielding a testable state-dependent classicality criterion via the normalized cohesion index.

Receipt and verification

First computed	2026-05-26T02:04:11.394155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d2b8e0a224a65b803a617962a2985cde3b5605bb2976344ae7fb31c64564e3

Aliases

arxiv: 2604.23304 · arxiv_version: 2604.23304v2 · doi: 10.48550/arxiv.2604.23304 · pith_short_12: Y7JLRYFCESTF · pith_short_16: Y7JLRYFCESTFXAB2 · pith_short_8: Y7JLRYFC

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/Y7JLRYFCESTFXAB2MF4WFIUYLT \
  | 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: c7d2b8e0a224a65b803a617962a2985cde3b5605bb2976344ae7fb31c64564e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c57634d37f72768f86b9a8a58663c52b1af5c48cc8bf73f8e8ae7d62a63b186",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-25T13:41:22Z",
    "title_canon_sha256": "0ca8068b2d3cac47fadc99f66dfed9b37e173b1b89599c19640402f766bb4f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23304",
    "kind": "arxiv",
    "version": 2
  }
}