Pith Number

pith:6V74NRTT

pith:2012:6V74NRTTSQNISRXMGWU7PDNEAO

not attested not anchored not stored refs pending

Group theoretical Quantization of Isotropic Loop Cosmology

Etera R. Livine, Mercedes Mart\'in-Benito

arxiv:1204.0539 v2 · 2012-04-02 · 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{6V74NRTTSQNISRXMGWU7PDNEAO}

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	2026-05-18T03:22:42.507909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f57fc6c673941a8946ec35a9f78da403b15cd02852d80abc9dfd28f7530bf847

Aliases

arxiv: 1204.0539 · arxiv_version: 1204.0539v2 · doi: 10.48550/arxiv.1204.0539 · pith_short_12: 6V74NRTTSQNI · pith_short_16: 6V74NRTTSQNISRXM · pith_short_8: 6V74NRTT

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/6V74NRTTSQNISRXMGWU7PDNEAO \
  | 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: f57fc6c673941a8946ec35a9f78da403b15cd02852d80abc9dfd28f7530bf847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0337f1a2db1470735a295ddb413d6339cb2d0d2f478ad28122e46818338ed59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-02T21:25:32Z",
    "title_canon_sha256": "7eebd9a120231942ca8a0ce0e08164f912d28aef7aae66c82c86dc9d134d2730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0539",
    "kind": "arxiv",
    "version": 2
  }
}