Pith Number

pith:JIGLXGWJ

pith:2000:JIGLXGWJRJRWHYMVWKAF7RAA37

not attested not anchored not stored refs pending

Rigged Hilbert spaces and time-asymmetry: the case of the upside-down simple harmonic oscillator

Gabriel Puccini, Luis Lara, Mario Castagnino, Roberto Diener

arxiv:quant-ph/0006011 v1 · 2000-06-02 · quant-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{JIGLXGWJRJRWHYMVWKAF7RAA37}

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

The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure

Receipt and verification

First computed	2026-07-04T23:57:39.695862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a0cbb9ac98a6363e195b2805fc400dfee0205b3a4f2406534626295fde2827a

Aliases

arxiv: quant-ph/0006011 · arxiv_version: quant-ph/0006011v1 · doi: 10.48550/arxiv.quant-ph/0006011 · pith_short_12: JIGLXGWJRJRW · pith_short_16: JIGLXGWJRJRWHYMV · pith_short_8: JIGLXGWJ

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/JIGLXGWJRJRWHYMVWKAF7RAA37 \
  | 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: 4a0cbb9ac98a6363e195b2805fc400dfee0205b3a4f2406534626295fde2827a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6edc08be25b0d11e4e5dba5d5bccedf967a3be63863822153275748e485403d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-06-02T14:26:45Z",
    "title_canon_sha256": "f8ae29c36e1a0f266091b6e3b45114dea9aba44d10c99c2a3b1b6d19c5896b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0006011",
    "kind": "arxiv",
    "version": 1
  }
}