Pith Number

pith:EKUIR4AZ

pith:2009:EKUIR4AZ3I3XFMJQV5Y6IC2FEY

not attested not anchored not stored refs pending

The LQC evolution operator of FRW universe with positive cosmological constant

Tomasz Pawlowski, Wojciech Kaminski

arxiv:0912.0162 v1 · 2009-12-01 · 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{EKUIR4AZ3I3XFMJQV5Y6IC2FEY}

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

1 paper in Pith

Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

Receipt and verification

First computed	2026-07-04T17:28:13.520341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a888f019da3772b130af71e40b45263f99856a99f36a92e4f024f91a4a8561

Aliases

arxiv: 0912.0162 · arxiv_version: 0912.0162v1 · doi: 10.48550/arxiv.0912.0162 · pith_short_12: EKUIR4AZ3I3X · pith_short_16: EKUIR4AZ3I3XFMJQ · pith_short_8: EKUIR4AZ

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/EKUIR4AZ3I3XFMJQV5Y6IC2FEY \
  | 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: 22a888f019da3772b130af71e40b45263f99856a99f36a92e4f024f91a4a8561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "943a68d92d28792824efa1e127fa7841bc401e86bd99038a5735c46060155ce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-01T14:32:58Z",
    "title_canon_sha256": "5e479862fb7be888d98089ac95ff6534924b18421288935331d080337716994f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0162",
    "kind": "arxiv",
    "version": 1
  }
}