Pith Number

pith:RTW3OPAM

pith:2024:RTW3OPAMZAZKI7GKTWGHJVEE4T

not attested not anchored not stored refs pending

Off-equatorial deflections and gravitational lensing. II. In general stationary and axisymmetric spacetimes

Junji Jia, Xinguang Ying

arxiv:2405.03471 v3 · 2024-05-06 · 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{RTW3OPAMZAZKI7GKTWGHJVEE4T}

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	2026-07-05T09:53:01.171500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cedb73c0cc832a47cca9d8c74d484e4c859d05127e66c7b5fc5675260bdedce

Aliases

arxiv: 2405.03471 · arxiv_version: 2405.03471v3 · doi: 10.48550/arxiv.2405.03471 · pith_short_12: RTW3OPAMZAZK · pith_short_16: RTW3OPAMZAZKI7GK · pith_short_8: RTW3OPAM

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/RTW3OPAMZAZKI7GKTWGHJVEE4T \
  | 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: 8cedb73c0cc832a47cca9d8c74d484e4c859d05127e66c7b5fc5675260bdedce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d28ccf3c7630bda0dd455aedd78be126bef921b59d7db8c9bb39b49be030187",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-05-06T13:46:09Z",
    "title_canon_sha256": "c954fe81541e4b1635ab8bce1663059f19e423eee8e82dc7c2fbc14996288816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03471",
    "kind": "arxiv",
    "version": 3
  }
}