Pith Number

pith:Q6ARHUJJ

pith:2004:Q6ARHUJJZFS5JCSGWLEWKC5ZQ6

not attested not anchored not stored refs pending

Loop Quantum Cosmology: Recent Progress

Martin Bojowald

arxiv:gr-qc/0402053 v1 · 2004-02-12 · 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{Q6ARHUJJZFS5JCSGWLEWKC5ZQ6}

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

Canonical quantization of all minisuperspaces with consistent symmetry reductions

Receipt and verification

First computed	2026-05-18T02:37:30.190477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878113d129c965d48a46b2c9650bb987bf9a08b0d268b35a35ee89e29cb5159d

Aliases

arxiv: gr-qc/0402053 · arxiv_version: gr-qc/0402053v1 · doi: 10.48550/arxiv.gr-qc/0402053 · pith_short_12: Q6ARHUJJZFS5 · pith_short_16: Q6ARHUJJZFS5JCSG · pith_short_8: Q6ARHUJJ

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/Q6ARHUJJZFS5JCSGWLEWKC5ZQ6 \
  | 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: 878113d129c965d48a46b2c9650bb987bf9a08b0d268b35a35ee89e29cb5159d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7da9f55f71dc5328cafd8a3afca634f5da856769af1beb87c1b4abd11219bc3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-02-12T10:13:47Z",
    "title_canon_sha256": "371d996820ef277fa1d814f32d6ea8dff2c9ca98a36a1dd8f8840d86e43c4ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0402053",
    "kind": "arxiv",
    "version": 1
  }
}