Pith Number

pith:FRQSEGNE

pith:2020:FRQSEGNEPIGQ4UGXMZIY2R7OF7

not attested not anchored not stored refs pending

Gravitational lens without asymptotic flatness: Its application to the Weyl gravity

Hideki Asada, Keita Takizawa, Toshiaki Ono

arxiv:2006.00682 v2 · 2020-06-01 · gr-qc · astro-ph.CO · 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{FRQSEGNEPIGQ4UGXMZIY2R7OF7}

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	2026-07-05T01:39:00.388483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c612219a47a0d0e50d766518d47ee2fd4cb85b7391cbc00373b683cb07fbbf2

Aliases

arxiv: 2006.00682 · arxiv_version: 2006.00682v2 · doi: 10.48550/arxiv.2006.00682 · pith_short_12: FRQSEGNEPIGQ · pith_short_16: FRQSEGNEPIGQ4UGX · pith_short_8: FRQSEGNE

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/FRQSEGNEPIGQ4UGXMZIY2R7OF7 \
  | 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: 2c612219a47a0d0e50d766518d47ee2fd4cb85b7391cbc00373b683cb07fbbf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7eec079cf5cf850da566ceea587a7efedaa9f20b11095471bcf0c9fc1d8327d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-06-01T03:06:41Z",
    "title_canon_sha256": "65fed34e282a0c14fc92429a9a804f30bb0f01fe5e89a985909873540f83e216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.00682",
    "kind": "arxiv",
    "version": 2
  }
}