Pith Number

pith:XMGLVOIB

pith:2023:XMGLVOIB4FK4KYAFY4KKHAANWN

not attested not anchored not stored refs pending

Off-equatorial deflections and gravitational lensing. I. In Kerr spacetime and effect of spin

Junji Jia, Tingyuan Jiang, Xiaoge Xu

arxiv:2307.15174 v4 · 2023-07-27 · 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{XMGLVOIB4FK4KYAFY4KKHAANWN}

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	2026-07-05T09:52:57.212083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0cbab901e155c56005c714a3800db37b4f2b6c90b703c10852d8bef71cf0cd

Aliases

arxiv: 2307.15174 · arxiv_version: 2307.15174v4 · doi: 10.48550/arxiv.2307.15174 · pith_short_12: XMGLVOIB4FK4 · pith_short_16: XMGLVOIB4FK4KYAF · pith_short_8: XMGLVOIB

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/XMGLVOIB4FK4KYAFY4KKHAANWN \
  | 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: bb0cbab901e155c56005c714a3800db37b4f2b6c90b703c10852d8bef71cf0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbe757541cc9eafd206c85942ee4e54404c0a5a3f454c08c0193de3827e6bb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-07-27T20:06:47Z",
    "title_canon_sha256": "6342ef6e084b7938686320ce00f69dd27ad24de8ce5c13d3c1b763f51e919744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15174",
    "kind": "arxiv",
    "version": 4
  }
}