Pith Number

pith:26HAUFJP

pith:2006:26HAUFJPYUZ2VPN2TMDMVVHAKO

not attested not anchored not stored refs pending

Generalized Heisenberg relation and Quantum Harmonic Oscillators

P. Narayana Swamy

arxiv:quant-ph/0610079 v1 · 2006-10-10 · 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{26HAUFJPYUZ2VPN2TMDMVVHAKO}

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.

Receipt and verification

First computed	2026-05-18T01:37:54.060363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78e0a152fc533aabdba9b06cad4e053ae8810914f7f85eebfa45e79ed26614a

Aliases

arxiv: quant-ph/0610079 · arxiv_version: quant-ph/0610079v1 · doi: 10.48550/arxiv.quant-ph/0610079 · pith_short_12: 26HAUFJPYUZ2 · pith_short_16: 26HAUFJPYUZ2VPN2 · pith_short_8: 26HAUFJP

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/26HAUFJPYUZ2VPN2TMDMVVHAKO \
  | 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: d78e0a152fc533aabdba9b06cad4e053ae8810914f7f85eebfa45e79ed26614a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe28b0d896f729d7f0a97f5f828085a5d8d2ff6230771629b8468e5a0f98699",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-10T18:39:51Z",
    "title_canon_sha256": "8407989f6df9d1215e39dbfbaa0905150f2332cd9cf93b0a1cca3fe5da7afd2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610079",
    "kind": "arxiv",
    "version": 1
  }
}