Pith Number

pith:KYO7X3QC

pith:2021:KYO7X3QC53LN6ZWDYQXYIFU6HS

not attested not anchored not stored refs pending

The use of the Born-Oppenheimer factorization in the phase-space representation of the time-independent Schr\"odinger equation for bilinearly coupled harmonic oscillators

Carlos A. Arango

arxiv:2108.11500 v1 · 2021-08-25 · quant-ph · physics.chem-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{KYO7X3QC53LN6ZWDYQXYIFU6HS}

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

Born-Oppenheimer, Born-Huang, and exact factorization: quantum geometry and error in analytically transparent benchmark models

Receipt and verification

First computed	2026-07-05T03:08:57.879969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561dfbee02eed6df66c3c42f84169e3cb890f5aa103743dc3cae5471def20af1

Aliases

arxiv: 2108.11500 · arxiv_version: 2108.11500v1 · doi: 10.48550/arxiv.2108.11500 · pith_short_12: KYO7X3QC53LN · pith_short_16: KYO7X3QC53LN6ZWD · pith_short_8: KYO7X3QC

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/KYO7X3QC53LN6ZWDYQXYIFU6HS \
  | 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: 561dfbee02eed6df66c3c42f84169e3cb890f5aa103743dc3cae5471def20af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5402170d2946ff70df628aab55ad2d9ede6012e0e522d5ad0ef5b095509bee",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-08-25T22:23:38Z",
    "title_canon_sha256": "cf98abe06cdb47f2c03120daa6ebc709925e9d4ffde46fed53ae21a81381b28e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11500",
    "kind": "arxiv",
    "version": 1
  }
}