Pith Number

pith:XMM5I6GJ

pith:2026:XMM5I6GJVYIPGMFP6QN52P44FF

not attested not anchored not stored refs resolved

Semi-classical Imprint of Horizon Induced Instability

Arnab Chakraborty, Arshad Momen, Onirban Islam

The density of states of an inverted harmonic oscillator on the circle, computed via stationary phase on its evolution kernel, shows thermalization as the semi-classical signature of classical Lyapunov instability.

arxiv:2605.17586 v1 · 2026-05-17 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMM5I6GJVYIPGMFP6QN52P44FF}

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

Thermalisation is demonstrated as a semi-classical manifestation of the classical Lyapunov instability via the density of states computed with the stationary phase approximation on the oscillatory integral representation of the Schwartz kernel for the inverted harmonic oscillator in L2(S).

C2weakest assumption

The inverted harmonic oscillator in L2(S) faithfully captures the essential features of horizon-induced classical instability, and the stationary phase approximation applied to the time-evolution kernel yields an accurate density of states without uncontrolled errors.

C3one line summary

Computes density of states for inverted harmonic oscillator on circle via stationary phase approximation to demonstrate semi-classical thermalization from Lyapunov instability.

References

24 extracted · 24 resolved · 2 Pith anchors

[1] S. Dalui, B. R. Majhi, and P. Mishra, Phys. Rev. D102, 044006 (2020), arXiv:1910.07989 [gr-qc] 2020

[2] S. Dalui and B. R. Majhi, Phys. Rev. D102, 124047 (2020), arXiv:2007.14312 [gr-qc] 2020

[3] S. W. Hawking, Commun. Math. Phys.43, 199 (1975) 1975

[4] R. M. Wald, Liv. Rev. Relativity4, 6 (2001), arXiv:9912119 [gr-qc] 2001

[5] Quantum fields in curved spacetime 2015 · arXiv:1401.2026

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:47.354604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb19d478c9ae10f330aff41bdd3f9c2959a83280ca0983151ae37b003042b4f2

Aliases

arxiv: 2605.17586 · arxiv_version: 2605.17586v1 · doi: 10.48550/arxiv.2605.17586 · pith_short_12: XMM5I6GJVYIP · pith_short_16: XMM5I6GJVYIPGMFP · pith_short_8: XMM5I6GJ

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/XMM5I6GJVYIPGMFP6QN52P44FF \
  | 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: bb19d478c9ae10f330aff41bdd3f9c2959a83280ca0983151ae37b003042b4f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a228b4006aaeed757dd5eae3b029a7185246c88515bf8f8463b4b184fb8ad6",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-17T18:29:13Z",
    "title_canon_sha256": "9b897511d1fd7811e3cec70922ac2742897b5f4fd7f6ef594d218a805918f372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17586",
    "kind": "arxiv",
    "version": 1
  }
}