Pith Number

pith:YVMSVQOH

pith:2021:YVMSVQOHTULF3JNYOMHY2GLFUP

not attested not anchored not stored refs pending

Kerr-Newman black hole lensing of relativistic massive particles in the weak field limit

Guansheng He, Wenbin Lin

arxiv:2112.08142 v2 · 2021-12-15 · 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{YVMSVQOHTULF3JNYOMHY2GLFUP}

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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

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

Receipt and verification

First computed	2026-07-05T04:24:24.155969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5592ac1c79d165da5b8730f8d1965a3cdafe8157451e7536d2bd25b751a3766

Aliases

arxiv: 2112.08142 · arxiv_version: 2112.08142v2 · doi: 10.48550/arxiv.2112.08142 · pith_short_12: YVMSVQOHTULF · pith_short_16: YVMSVQOHTULF3JNY · pith_short_8: YVMSVQOH

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/YVMSVQOHTULF3JNYOMHY2GLFUP \
  | 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: c5592ac1c79d165da5b8730f8d1965a3cdafe8157451e7536d2bd25b751a3766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27851dbe0329a04fd9890e6617f4bf836f88febee84cba84f81d79fccd780b81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-15T14:13:12Z",
    "title_canon_sha256": "258e8969c9cbc5bb2fb1190ab5b9f19e3ca421c4aeb387fc49adf5e26f12d0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08142",
    "kind": "arxiv",
    "version": 2
  }
}