Pith Number

pith:42EUKJ57

pith:2018:42EUKJ57BSJ7CMF3AB52QOANOM

not attested not anchored not stored refs pending

Gravitational Lensing Under the Effect of Weyl and Bumblebee Gravities: Applications of Gauss-Bonnet Theorem

Ali \"Ovg\"un, Izzet Sakalli, Kimet Jusufi

arxiv:1805.09431 v2 · 2018-05-23 · 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{42EUKJ57BSJ7CMF3AB52QOANOM}

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

2 papers in Pith

Dyonic Black Holes in Lorentz-Violating Gravity with a Background Kalb--Ramond Field

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Receipt and verification

First computed	2026-05-18T00:01:59.279836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6894527bf0c93f130bb007ba8380d7315b5081e9196730e0c9118fa79840660

Aliases

arxiv: 1805.09431 · arxiv_version: 1805.09431v2 · doi: 10.48550/arxiv.1805.09431 · pith_short_12: 42EUKJ57BSJ7 · pith_short_16: 42EUKJ57BSJ7CMF3 · pith_short_8: 42EUKJ57

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/42EUKJ57BSJ7CMF3AB52QOANOM \
  | 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: e6894527bf0c93f130bb007ba8380d7315b5081e9196730e0c9118fa79840660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "831b5eb1b99ece94b80568cc2410ae97b11874f7e40b7ad5f1b35701a54a58be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-05-23T21:13:15Z",
    "title_canon_sha256": "a939575a54cafaa73b851401199adadbe2cb1e891dfb8464edbf18d667a1c53b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09431",
    "kind": "arxiv",
    "version": 2
  }
}