Pith Number

pith:Z3LUSEFR

pith:2007:Z3LUSEFRPYLWUHIIEJQ65BVLKI

not attested not anchored not stored refs pending

Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation

David Rideout, Johannes Brunnemann

arxiv:0706.0382 v2 · 2007-06-04 · 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{Z3LUSEFRPYLWUHIIEJQ65BVLKI}

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.

Receipt and verification

First computed	2026-05-18T04:34:47.163686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced74910b17e176a1d082261ee86ab523aa3b711bb4c3d7fa0046320dccaadab

Aliases

arxiv: 0706.0382 · arxiv_version: 0706.0382v2 · doi: 10.48550/arxiv.0706.0382 · pith_short_12: Z3LUSEFRPYLW · pith_short_16: Z3LUSEFRPYLWUHII · pith_short_8: Z3LUSEFR

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/Z3LUSEFRPYLWUHIIEJQ65BVLKI \
  | 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: ced74910b17e176a1d082261ee86ab523aa3b711bb4c3d7fa0046320dccaadab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ffba3dc577aa1c408d2b09cfacc953fde76f72a775c4d72ad9cfc933c6d727b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-06-04T18:39:11Z",
    "title_canon_sha256": "bf51be48fb1e2468b9c4ee64980ff9408a9c24890ebce5461f980323098ee9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0382",
    "kind": "arxiv",
    "version": 2
  }
}