Pith Number

pith:RCI56LFV

pith:2009:RCI56LFV2JN3WVMYCXD2WDEOVG

not attested not anchored not stored refs pending

Fractal universe and quantum gravity

Gianluca Calcagni

arxiv:0912.3142 v3 · 2009-12-16 · hep-th · astro-ph.CO · 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{RCI56LFV2JN3WVMYCXD2WDEOVG}

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

7 papers in Pith

Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries

Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1

Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog

Cosmology of fractional gravity

Tests of General Relativity with GWTC-3

Receipt and verification

First computed	2026-05-18T02:33:56.317861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8891df2cb5d25bbb559815c7ab0c8ea9b4ee16fb397e2e34ff05ab71398aa617

Aliases

arxiv: 0912.3142 · arxiv_version: 0912.3142v3 · doi: 10.48550/arxiv.0912.3142 · pith_short_12: RCI56LFV2JN3 · pith_short_16: RCI56LFV2JN3WVMY · pith_short_8: RCI56LFV

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/RCI56LFV2JN3WVMYCXD2WDEOVG \
  | 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: 8891df2cb5d25bbb559815c7ab0c8ea9b4ee16fb397e2e34ff05ab71398aa617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637941f7cc8163f2b8f19603fc38da63b2eed5c14c6cfb9bfbaf7f57e69fd2fd",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-16T20:51:50Z",
    "title_canon_sha256": "7ba2eee9d0bdbf3d61fe215750091aaff4a81c1e7d503edda2d15e23c38df90d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3142",
    "kind": "arxiv",
    "version": 3
  }
}