Pith Number

pith:X22INTHE

pith:2022:X22INTHELBSPKMVP2OJDKRVZCR

not attested not anchored not stored refs pending

Black holes in dRGT massive gravity with the signature of EHT observations of M87*

B. Eslam Panah, Kh. Jafarzade, S. H. Hendi

arxiv:2206.05132 v3 · 2022-06-10 · 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{X22INTHELBSPKMVP2OJDKRVZCR}

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

Topological charge and black hole photon spheres in massive gravity

Receipt and verification

First computed	2026-07-05T05:40:47.232852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb486cce45864f532afd3923546b9146084fe2ab3d1c25f2202f362158fe1fd

Aliases

arxiv: 2206.05132 · arxiv_version: 2206.05132v3 · doi: 10.48550/arxiv.2206.05132 · pith_short_12: X22INTHELBSP · pith_short_16: X22INTHELBSPKMVP · pith_short_8: X22INTHE

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/X22INTHELBSPKMVP2OJDKRVZCR \
  | 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: beb486cce45864f532afd3923546b9146084fe2ab3d1c25f2202f362158fe1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45823b64dfb157880c6d5ed16ecec27c37c5c5b409ad0ccb0057b919595feefe",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-06-10T14:14:00Z",
    "title_canon_sha256": "855bbdaf729180381e5909d4f277fdaeeea61b57b479ff5df12071ff9e0aaa5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05132",
    "kind": "arxiv",
    "version": 3
  }
}