Pith Number

pith:Y7EICOLZ

pith:2001:Y7EICOLZERWEVGXH2DY7TIGZFU

not attested not anchored not stored refs pending

Quantum Cosmology for the General Bianchi Type II, VI(Class A) and VII(Class A) vacuum geometries

G. O. Papadopoulos, T. Christodoulakis

arxiv:gr-qc/0109058 v1 · 2001-09-18 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7EICOLZERWEVGXH2DY7TIGZFU}

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	2026-05-18T00:51:07.900814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c8813979246c4a9ae7d0f1f9a0d92d0d232dfad1554989b778b0165d49c710

Aliases

arxiv: gr-qc/0109058 · arxiv_version: gr-qc/0109058v1 · doi: 10.48550/arxiv.gr-qc/0109058 · pith_short_12: Y7EICOLZERWE · pith_short_16: Y7EICOLZERWEVGXH · pith_short_8: Y7EICOLZ

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/Y7EICOLZERWEVGXH2DY7TIGZFU \
  | 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: c7c8813979246c4a9ae7d0f1f9a0d92d0d232dfad1554989b778b0165d49c710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50808c43592f8e913eb144e5528b96ca8a90bbc58f016296e906f4bef57dee8a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-18T09:21:14Z",
    "title_canon_sha256": "308058b5f465ef3dd338dbdff3689ad2b7498f70706c491d4dbed96c94106007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109058",
    "kind": "arxiv",
    "version": 1
  }
}