Pith Number

pith:L7QMPTQC

pith:2020:L7QMPTQCK3FHXHYTHANC7X4QMB

not attested not anchored not stored refs pending

Gravitational Lensing by Black Holes in Einstein Quartic Gravity

H. Khodabakhshi, Robert B. Mann

arxiv:2007.05341 v1 · 2020-07-08 · 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{L7QMPTQCK3FHXHYTHANC7X4QMB}

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	2026-07-05T02:08:09.542310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe0c7ce0256ca7b9f13381a2fdf9060707d8a57697403471aacba2a9f0cfe30

Aliases

arxiv: 2007.05341 · arxiv_version: 2007.05341v1 · doi: 10.48550/arxiv.2007.05341 · pith_short_12: L7QMPTQCK3FH · pith_short_16: L7QMPTQCK3FHXHYT · pith_short_8: L7QMPTQC

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/L7QMPTQCK3FHXHYTHANC7X4QMB \
  | 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: 5fe0c7ce0256ca7b9f13381a2fdf9060707d8a57697403471aacba2a9f0cfe30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a804351ec8c707daa241d9d9d8ae7165e9b1ea46a89afbf55d12cc13bdb4031",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-08T23:56:46Z",
    "title_canon_sha256": "8729e794892ac952fc3fcfebd0e4231bf5b19d9292766693b7c05c8178264b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.05341",
    "kind": "arxiv",
    "version": 1
  }
}