Pith Number

pith:J26EA7HR

pith:2013:J26EA7HRJWJFECVWTPU3WKG2LK

not attested not anchored not stored refs pending

Observables in Loop Quantum Gravity with a cosmological constant

Florian Girelli, Ma\"it\'e Dupuis

arxiv:1311.6841 v1 · 2013-11-26 · 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{J26EA7HRJWJFECVWTPU3WKG2LK}

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	2026-05-18T02:32:22.476909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ebc407cf14d92520ab69be9bb28da5a90563d6d3577c8c9608359d2ee5d2bc7

Aliases

arxiv: 1311.6841 · arxiv_version: 1311.6841v1 · doi: 10.48550/arxiv.1311.6841 · pith_short_12: J26EA7HRJWJF · pith_short_16: J26EA7HRJWJFECVW · pith_short_8: J26EA7HR

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/J26EA7HRJWJFECVWTPU3WKG2LK \
  | 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: 4ebc407cf14d92520ab69be9bb28da5a90563d6d3577c8c9608359d2ee5d2bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc1ce013b252583e10a564ae5730ac90c1496860f080672384b4528bffe0c6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-26T23:05:27Z",
    "title_canon_sha256": "ec92d60c1f71d3e6c242f5f7249f717af6e1d13ad359b10174577b3c23701de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6841",
    "kind": "arxiv",
    "version": 1
  }
}