Pith Number

pith:44BPV47B

pith:2020:44BPV47BUY6EHD5NFWPQ4P2QFG

not attested not anchored not stored refs pending

Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity

Ilkka M\"akinen

arxiv:2004.00309 v3 · 2020-04-01 · 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{44BPV47BUY6EHD5NFWPQ4P2QFG}

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

Effective dynamics of a homogeneous and isotropic universe with quantum curvature

Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity

Receipt and verification

First computed	2026-07-05T02:02:52.581458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e702faf3e1a63c438fad2d9f0e3f5029815b280accbf123c3765f569f3f1b910

Aliases

arxiv: 2004.00309 · arxiv_version: 2004.00309v3 · doi: 10.48550/arxiv.2004.00309 · pith_short_12: 44BPV47BUY6E · pith_short_16: 44BPV47BUY6EHD5N · pith_short_8: 44BPV47B

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/44BPV47BUY6EHD5NFWPQ4P2QFG \
  | 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: e702faf3e1a63c438fad2d9f0e3f5029815b280accbf123c3765f569f3f1b910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d2e78ef38c23a14ea087f777bc3c0dd3a6cb7499545975afa524586afcacf21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-01T09:42:56Z",
    "title_canon_sha256": "b00c1c00f107278f252a79166635bf0543068ae13f9b230afabdcc304c9abdfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00309",
    "kind": "arxiv",
    "version": 3
  }
}