Pith Number

pith:N7JTSLP3

pith:2008:N7JTSLP3O3OOFLJFMMGQSHPTB6

not attested not anchored not stored refs pending

Relativistic Harmonic Oscillator Revisited

Itzhak Bars

arxiv:0810.2075 v1 · 2008-10-12 · hep-th · math-ph · math.MP · 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{N7JTSLP3O3OOFLJFMMGQSHPTB6}

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	2026-05-18T04:23:23.521671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd3392dfb76dce2ad25630d091df30fab1bfc1f1e6d4b41b7f039f5b5197253

Aliases

arxiv: 0810.2075 · arxiv_version: 0810.2075v1 · doi: 10.48550/arxiv.0810.2075 · pith_short_12: N7JTSLP3O3OO · pith_short_16: N7JTSLP3O3OOFLJF · pith_short_8: N7JTSLP3

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/N7JTSLP3O3OOFLJFMMGQSHPTB6 \
  | 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: 6fd3392dfb76dce2ad25630d091df30fab1bfc1f1e6d4b41b7f039f5b5197253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f3447318133432befa10b38a0d79ff12bf1158087891ad0384d515f63b4f880",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-10-12T08:28:54Z",
    "title_canon_sha256": "1824861c25155e6611d962ed01877ee4a3a908a5c3644834959bc0a0d390991a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2075",
    "kind": "arxiv",
    "version": 1
  }
}