Pith Number

pith:7FSBSL5U

pith:2004:7FSBSL5UISQLI4LEX3XA22KEWH

not attested not anchored not stored refs pending

Simplification of the Spectral Analysis of the Volume Operator in Loop Quantum Gravity

Johannes Brunnemann, Thomas Thiemann

arxiv:gr-qc/0405060 v1 · 2004-05-11 · gr-qc · hep-th · math-ph · math.MP · nucl-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FSBSL5UISQLI4LEX3XA22KEWH}

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	2026-05-18T01:39:22.576616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f964192fb444a0b47164beee0d6944b1d642e79ecae59295d8140781e03cb69a

Aliases

arxiv: gr-qc/0405060 · arxiv_version: gr-qc/0405060v1 · doi: 10.48550/arxiv.gr-qc/0405060 · pith_short_12: 7FSBSL5UISQL · pith_short_16: 7FSBSL5UISQLI4LE · pith_short_8: 7FSBSL5U

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/7FSBSL5UISQLI4LEX3XA22KEWH \
  | 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: f964192fb444a0b47164beee0d6944b1d642e79ecae59295d8140781e03cb69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d202d28896728b29e061eb9e4e76e45660917b6520b0be63ca97e945d5f44a0a",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "nucl-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-05-11T19:29:02Z",
    "title_canon_sha256": "0a8b4dc2bbdd9fefde00935d4a24eff968cc3a25e4d3a11c781496aaa9c3a34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0405060",
    "kind": "arxiv",
    "version": 1
  }
}