Pith Number

pith:VMOD6LLF

pith:2008:VMOD6LLFNQHIVDXBWIHESJBMHM

not attested not anchored not stored refs pending

Loop Quantum Cosmology of Diagonal Bianchi Type I model: simplifications and scaling problems

Lukasz Szulc

arxiv:0803.3559 v2 · 2008-03-25 · 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{VMOD6LLFNQHIVDXBWIHESJBMHM}

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

On the dynamics of single-vertex states in quantum-reduced loop gravity

Receipt and verification

First computed	2026-07-04T15:38:15.812399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1c3f2d656c0e8a8ee1b20e49242c3b23b6bfa6cfe71232b718af426fc017cb

Aliases

arxiv: 0803.3559 · arxiv_version: 0803.3559v2 · doi: 10.48550/arxiv.0803.3559 · pith_short_12: VMOD6LLFNQHI · pith_short_16: VMOD6LLFNQHIVDXB · pith_short_8: VMOD6LLF

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/VMOD6LLFNQHIVDXBWIHESJBMHM \
  | 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: ab1c3f2d656c0e8a8ee1b20e49242c3b23b6bfa6cfe71232b718af426fc017cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f555431ca2caf8bf8953598ddc08e01d5f6b2523435346c6165d66833db9bf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-03-25T13:31:49Z",
    "title_canon_sha256": "300b1e262e37e91136d1873f284389d4497b333c542a332f24d5303a53c5e965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3559",
    "kind": "arxiv",
    "version": 2
  }
}