Pith Number

pith:6T5ZTSWW

pith:2010:6T5ZTSWWDNN6Y5BFRRQ2SDIKFG

not attested not anchored not stored refs pending

Quantum Geometric Tensor (Fubini-Study Metric) in Simple Quantum System: A pedagogical Introduction

Ran Cheng

arxiv:1012.1337 v2 · 2010-12-06 · quant-ph · 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{6T5ZTSWWDNN6Y5BFRRQ2SDIKFG}

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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

3 papers in Pith

Geometric curvature driven by many-body collective fluctuations

Evolution of quantum geometric tensor of 1D periodic systems after a quench

Exploring the Geometric and Dynamical Properties of Spin Systems and Their Interplay with Quantum Entanglement

Receipt and verification

First computed	2026-05-18T03:28:56.533159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4fb99cad61b5bec74258c61a90d0a298ca3eba217c477466933a0fdc223dc3f

Aliases

arxiv: 1012.1337 · arxiv_version: 1012.1337v2 · doi: 10.48550/arxiv.1012.1337 · pith_short_12: 6T5ZTSWWDNN6 · pith_short_16: 6T5ZTSWWDNN6Y5BF · pith_short_8: 6T5ZTSWW

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/6T5ZTSWWDNN6Y5BFRRQ2SDIKFG \
  | 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: f4fb99cad61b5bec74258c61a90d0a298ca3eba217c477466933a0fdc223dc3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b7257873eb8a1ef049120446dc8c6fa6cb7634e5b3dac189de6672af477981",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-06T21:10:45Z",
    "title_canon_sha256": "3a8327234b0ceea4030b83e2dc88932d19ee1d89ab60e7d7d66e6e0ffc489a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1337",
    "kind": "arxiv",
    "version": 2
  }
}