Pith Number

pith:K5TMVZ35

pith:2001:K5TMVZ35P3ZBOP3SCJ44AF4PF5

not attested not anchored not stored refs pending

A Canonical Approach to the Quantization of the Damped Harmonic Oscillator

Pradip Mukherjee, Rabin Banerjee

arxiv:quant-ph/0108055 v2 · 2001-08-11 · quant-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5TMVZ35P3ZBOP3SCJ44AF4PF5}

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.

Cited by

1 paper in Pith

Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator

Receipt and verification

First computed	2026-05-18T01:05:04.858800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5766cae77d7ef2173f721279c0178f2f7af1580c52fe87942c81a1c73b210efa

Aliases

arxiv: quant-ph/0108055 · arxiv_version: quant-ph/0108055v2 · doi: 10.48550/arxiv.quant-ph/0108055 · pith_short_12: K5TMVZ35P3ZB · pith_short_16: K5TMVZ35P3ZBOP3S · pith_short_8: K5TMVZ35

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/K5TMVZ35P3ZBOP3SCJ44AF4PF5 \
  | 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: 5766cae77d7ef2173f721279c0178f2f7af1580c52fe87942c81a1c73b210efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91295061cf390d19d3452afa16d588e1561d9a5166c6e380659d7ddecd3f3252",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-08-11T10:15:42Z",
    "title_canon_sha256": "3d14e30d5e7b8c040090a74eea766909c31349bc1660175af19e620219a9b403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0108055",
    "kind": "arxiv",
    "version": 2
  }
}