Pith Number

pith:B3UV23LE

pith:2018:B3UV23LEN2FIUD27XQ4KQVUQK7

not attested not anchored not stored refs pending

On gravitational lensing by symmetric and asymmetric wormholes

K.A. Baleevskikh, K.A. Bronnikov

arxiv:1812.05704 v1 · 2018-12-13 · 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{B3UV23LEN2FIUD27XQ4KQVUQK7}

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

Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow

Receipt and verification

First computed	2026-07-05T01:43:54.098736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee95d6d646e8a8a0f5fbc38a8569057d8ecb2f3d01825e24c337c744c241cbd

Aliases

arxiv: 1812.05704 · arxiv_version: 1812.05704v1 · doi: 10.48550/arxiv.1812.05704 · pith_short_12: B3UV23LEN2FI · pith_short_16: B3UV23LEN2FIUD27 · pith_short_8: B3UV23LE

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/B3UV23LEN2FIUD27XQ4KQVUQK7 \
  | 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: 0ee95d6d646e8a8a0f5fbc38a8569057d8ecb2f3d01825e24c337c744c241cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770201930c993171bb1ed25a0ba0e149f1c31230d870e8c15b31f202cc9333a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-13T21:44:14Z",
    "title_canon_sha256": "044013872dbd835436a12f0ef912a92a2ee36011782950f515e7189fba2573f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05704",
    "kind": "arxiv",
    "version": 1
  }
}