Pith Number

pith:NA47XHSZ

pith:2002:NA47XHSZ4R7Y3H2ERRCPRS57TW

not attested not anchored not stored refs pending

Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity

Carlo Rovelli, Etera R. Livine, Laurent Freidel

arxiv:gr-qc/0212077 v2 · 2002-12-18 · 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{NA47XHSZ4R7Y3H2ERRCPRS57TW}

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

Indefinite probabilities in quantum spacetime: A deepening of unpredictability

Receipt and verification

First computed	2026-05-18T02:37:30.573649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6839fb9e59e47f8d9f448c44f8cbbf9da72775eadadb9231fca698c84dd85de1

Aliases

arxiv: gr-qc/0212077 · arxiv_version: gr-qc/0212077v2 · doi: 10.48550/arxiv.gr-qc/0212077 · pith_short_12: NA47XHSZ4R7Y · pith_short_16: NA47XHSZ4R7Y3H2E · pith_short_8: NA47XHSZ

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/NA47XHSZ4R7Y3H2ERRCPRS57TW \
  | 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: 6839fb9e59e47f8d9f448c44f8cbbf9da72775eadadb9231fca698c84dd85de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda9741471d1cc8072084d398eb142ad98d42d60ee318d26cce2d003f973e50c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-12-18T18:11:51Z",
    "title_canon_sha256": "91160e4562c25d1b4838b5f724fcefefeb25d7b1efcf2987043ebd85bd278fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0212077",
    "kind": "arxiv",
    "version": 2
  }
}