Pith Number

pith:RRCG3IW4

pith:2016:RRCG3IW4UFQXRFEHWO3FLMTIXP

not attested not anchored not stored refs pending

Exact gravitational lensing in conformal gravity and Schwarzschild-de Sitter spacetime

Qing-hai Wang, Yen-Kheng Lim

arxiv:1609.07633 v2 · 2016-09-24 · 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{RRCG3IW4UFQXRFEHWO3FLMTIXP}

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	2026-05-18T00:53:20.639930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c446da2dca161789487b3b655b268bbcfa56070dc41473916eed343dc2b9de0

Aliases

arxiv: 1609.07633 · arxiv_version: 1609.07633v2 · doi: 10.48550/arxiv.1609.07633 · pith_short_12: RRCG3IW4UFQX · pith_short_16: RRCG3IW4UFQXRFEH · pith_short_8: RRCG3IW4

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/RRCG3IW4UFQXRFEHWO3FLMTIXP \
  | 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: 8c446da2dca161789487b3b655b268bbcfa56070dc41473916eed343dc2b9de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0e416e47c49e2d3abeb8bfe76d98352148f4913c476936cd9e0a96a159f8d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-24T15:03:57Z",
    "title_canon_sha256": "526d06d3812eaa1eab70d0371faae71f28663493a20692eedc287acc2a3deb4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07633",
    "kind": "arxiv",
    "version": 2
  }
}