Pith Number

pith:N5MREUTS

pith:2024:N5MREUTSBYEMJGD64VR5DJDAK5

not attested not anchored not stored refs pending

Spinoptics in the Schwarzschild spacetime

Valeri P. Frolov

arxiv:2410.19413 v1 · 2024-10-25 · 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{N5MREUTSBYEMJGD64VR5DJDAK5}

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.

Cited by

1 paper in Pith

Light Deflection due to Spinoptic Effects in Parametrized and Spherically Symmetric Hairy Black Holes

Receipt and verification

First computed	2026-07-05T09:25:56.356975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f591252720e08c4987ee563d1a460576a75e7e6ed19a7554e3fb299f661d992

Aliases

arxiv: 2410.19413 · arxiv_version: 2410.19413v1 · doi: 10.48550/arxiv.2410.19413 · pith_short_12: N5MREUTSBYEM · pith_short_16: N5MREUTSBYEMJGD6 · pith_short_8: N5MREUTS

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/N5MREUTSBYEMJGD64VR5DJDAK5 \
  | 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: 6f591252720e08c4987ee563d1a460576a75e7e6ed19a7554e3fb299f661d992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e164db36f8760ec0b3db1fd39afd0d0065b91d5bd5c6b6e6e49a7625f88a22",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-10-25T09:14:23Z",
    "title_canon_sha256": "1e23346ce8479a6f785cbed015afb678c773703e0d9d28bbebdee7c1646e4529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.19413",
    "kind": "arxiv",
    "version": 1
  }
}