Pith Number

pith:IQUPC2TF

pith:2006:IQUPC2TFO5NPSQ2NSKUO3T6GP3

not attested not anchored not stored refs pending

Closed FRW model in Loop Quantum Cosmology

Jerzy lewandowski, Lukasz Szulc, Wojciech Kaminski

arxiv:gr-qc/0612101 v2 · 2006-12-18 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQUPC2TFO5NPSQ2NSKUO3T6GP3}

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	2026-07-04T15:18:49.305518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4428f16a65775af9434d92a8edcfc67efd79874c911a29bb84a1960a75a8c93f

Aliases

arxiv: gr-qc/0612101 · arxiv_version: gr-qc/0612101v2 · doi: 10.48550/arxiv.gr-qc/0612101 · pith_short_12: IQUPC2TFO5NP · pith_short_16: IQUPC2TFO5NPSQ2N · pith_short_8: IQUPC2TF

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/IQUPC2TFO5NPSQ2NSKUO3T6GP3 \
  | 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: 4428f16a65775af9434d92a8edcfc67efd79874c911a29bb84a1960a75a8c93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1f5887c1ce739cfd3216b34102908a4a44d6de77ea28a2f7c6285fa69e210f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-18T00:21:37Z",
    "title_canon_sha256": "d70996124180ba579f8dc284829ed872fabe29c8911ff907588b53eebf8295f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612101",
    "kind": "arxiv",
    "version": 2
  }
}