Pith Number

pith:3LF7NVCT

pith:2024:3LF7NVCTAQF6XEOJZFOSSUWEIT

not attested not anchored not stored refs pending

Exploring light deflection and black hole shadows in Rastall theory with plasma effects

Ali \"Ovg\"un, Riasat Ali, Rimsha Babar, Xia Tiecheng

arxiv:2402.07657 v4 · 2024-02-12 · 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{3LF7NVCTAQF6XEOJZFOSSUWEIT}

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	2026-07-05T10:27:07.409125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacbf6d453040beb91c9c95d2952c444c9535667947e08ed489123adfc5d81b5

Aliases

arxiv: 2402.07657 · arxiv_version: 2402.07657v4 · doi: 10.48550/arxiv.2402.07657 · pith_short_12: 3LF7NVCTAQF6 · pith_short_16: 3LF7NVCTAQF6XEOJ · pith_short_8: 3LF7NVCT

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/3LF7NVCTAQF6XEOJZFOSSUWEIT \
  | 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: dacbf6d453040beb91c9c95d2952c444c9535667947e08ed489123adfc5d81b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54fb435e6e499269be784de7d2dda45363933fbb975680acee2be157e45d849b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-02-12T13:59:19Z",
    "title_canon_sha256": "b4362896e1c9ff7ea10578c1557969a45bfaf02e7eee6e822bbe93fb7408e54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.07657",
    "kind": "arxiv",
    "version": 4
  }
}