Pith Number

pith:VZBNR34S

pith:2013:VZBNR34SEDI36Z4VEZX4BMG27D

not attested not anchored not stored refs pending

On the Black Holes in alternative theories of gravity: The case of non-linear massive gravity

Ivan Arraut

arxiv:1311.0732 v6 · 2013-11-04 · 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{VZBNR34SEDI36Z4VEZX4BMG27D}

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	2026-05-18T02:30:32.437971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae42d8ef9220d1bf6795266fc0b0daf8faa2a15055796141f13ce1a93aed3925

Aliases

arxiv: 1311.0732 · arxiv_version: 1311.0732v6 · doi: 10.48550/arxiv.1311.0732 · pith_short_12: VZBNR34SEDI3 · pith_short_16: VZBNR34SEDI36Z4V · pith_short_8: VZBNR34S

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/VZBNR34SEDI36Z4VEZX4BMG27D \
  | 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: ae42d8ef9220d1bf6795266fc0b0daf8faa2a15055796141f13ce1a93aed3925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0d24e4d698ee1333b5cd0d812011ea5b8be3ddc6952dac3948c5bea8061737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-04T15:26:33Z",
    "title_canon_sha256": "920888bca18c420850590b1eaf33ceb6ba70a95d847079d9b026a859238a9688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0732",
    "kind": "arxiv",
    "version": 6
  }
}