Pith Number

pith:NS5IWP3O

pith:2015:NS5IWP3ONKCNJGHU2LSBMZEMO4

not attested not anchored not stored refs pending

Energy spectrum of the hydrogen atom in a space with one compactified extra dimension, $\mathbb{R}^3 \times S^1$

Martin Bure\v{s}

arxiv:1505.08100 v1 · 2015-05-29 · quant-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NS5IWP3ONKCNJGHU2LSBMZEMO4}

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	2026-05-18T01:59:59.696827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cba8b3f6e6a84d498f4d2e416648c770ab89fffc571d6d734421e0922187f57

Aliases

arxiv: 1505.08100 · arxiv_version: 1505.08100v1 · doi: 10.48550/arxiv.1505.08100 · pith_short_12: NS5IWP3ONKCN · pith_short_16: NS5IWP3ONKCNJGHU · pith_short_8: NS5IWP3O

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/NS5IWP3ONKCNJGHU2LSBMZEMO4 \
  | 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: 6cba8b3f6e6a84d498f4d2e416648c770ab89fffc571d6d734421e0922187f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f7c8022bb2377e3fa2776477fc95b8b478babab8918fc977714c81448b17fd1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-05-29T15:58:42Z",
    "title_canon_sha256": "3318f0c6bf5e13966274c37421d0eba90b7419609fe4857003840de52788189b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08100",
    "kind": "arxiv",
    "version": 1
  }
}