Pith Number

pith:UTLO6UPH

pith:2001:UTLO6UPHA7MGCNYIWZBKZ2TOS6

not attested not anchored not stored refs pending

Bateman's dual system revisited: I. Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator

Massimo Blasone, Petr Jizba

arxiv:quant-ph/0102128 v2 · 2001-02-26 · 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{UTLO6UPHA7MGCNYIWZBKZ2TOS6}

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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

Candidate collapse-noise correlators from Generalized Trace Dynamics: a Hubble-scale spectral line under structural assumptions

Receipt and verification

First computed	2026-05-18T02:35:07.051747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d6ef51e707d8613708b642acea6e97a710599e601c1d57909881e3ce62d64a

Aliases

arxiv: quant-ph/0102128 · arxiv_version: quant-ph/0102128v2 · doi: 10.48550/arxiv.quant-ph/0102128 · pith_short_12: UTLO6UPHA7MG · pith_short_16: UTLO6UPHA7MGCNYI · pith_short_8: UTLO6UPH

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/UTLO6UPHA7MGCNYIWZBKZ2TOS6 \
  | 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: a4d6ef51e707d8613708b642acea6e97a710599e601c1d57909881e3ce62d64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49f3f5283d13db247bb10925a5ef9a3661742814401836a1593cfc5ea0f1d8e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-02-26T04:02:07Z",
    "title_canon_sha256": "592d262ef737a84d2ef46f03abb230c1724258192d425413e440b32e5b4c12fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0102128",
    "kind": "arxiv",
    "version": 2
  }
}