Pith Number

pith:X5F3ABSI

pith:2012:X5F3ABSI3X2Z45U5F2UTMHUNNC

not attested not anchored not stored refs pending

Conditional Symmetries and the Canonical Quantization of Constrained Minisuperspace Actions: the Schwarzschild case

A. Spanou, E. Melas, G. Doulis, N. Dimakis, Petros A. Terzis, T. Christodoulakis, Th. Grammenos

arxiv:1208.0462 v1 · 2012-08-02 · gr-qc · 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{X5F3ABSI3X2Z45U5F2UTMHUNNC}

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

2 papers in Pith

Canonical quantization of all minisuperspaces with consistent symmetry reductions

Receipt and verification

First computed	2026-05-18T03:06:51.945446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf4bb00648ddf59e769d2ea9361e8d68ba87de48f7b55d7e3d42a030853a0669

Aliases

arxiv: 1208.0462 · arxiv_version: 1208.0462v1 · doi: 10.48550/arxiv.1208.0462 · pith_short_12: X5F3ABSI3X2Z · pith_short_16: X5F3ABSI3X2Z45U5 · pith_short_8: X5F3ABSI

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/X5F3ABSI3X2Z45U5F2UTMHUNNC \
  | 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: bf4bb00648ddf59e769d2ea9361e8d68ba87de48f7b55d7e3d42a030853a0669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba6bb340db7c3636dfbdab54999c03ca78acd640633da7b375ed43f1f6c2baa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-02T12:15:43Z",
    "title_canon_sha256": "c63ee44d93d88f37da5214763fe013023a6197bdc4e3fd0153f6d0cf6635e513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0462",
    "kind": "arxiv",
    "version": 1
  }
}