Pith Number

pith:CXLDHE22

pith:2007:CXLDHE22ZBSYD4I4B52QBEHCRF

not attested not anchored not stored refs pending

The loop-quantum-gravity vertex-amplitude

Carlo Rovelli, Jonathan Engle, Roberto Pereira

arxiv:0705.2388 v1 · 2007-05-16 · 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{CXLDHE22ZBSYD4I4B52QBEHCRF}

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	2026-07-04T15:24:13.514028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d633935ac86581f11c0f750090e2895da431bffec7d1dd140d6f8ae0d3c496

Aliases

arxiv: 0705.2388 · arxiv_version: 0705.2388v1 · doi: 10.48550/arxiv.0705.2388 · pith_short_12: CXLDHE22ZBSY · pith_short_16: CXLDHE22ZBSYD4I4 · pith_short_8: CXLDHE22

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/CXLDHE22ZBSYD4I4B52QBEHCRF \
  | 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: 15d633935ac86581f11c0f750090e2895da431bffec7d1dd140d6f8ae0d3c496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9925c2abdde60d72e213243ad2689ea7ce6793021a399446255e1d77516a87da",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-05-16T16:03:25Z",
    "title_canon_sha256": "5dc3d50ec4f3f9b2dc06aa2924fae7903a4b556f1c32442a0664388fca72a56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2388",
    "kind": "arxiv",
    "version": 1
  }
}