Pith Number

pith:GO5OX6YY

pith:2022:GO5OX6YYP5BSJFUUNJBMSHYWDF

not attested not anchored not stored refs pending

Effect of electric interaction on the deflection and gravitational lensing in the strong field limit

Junji Jia, Muchun Chen, Shangjie Zhou

arxiv:2203.05415 v2 · 2022-03-10 · 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{GO5OX6YYP5BSJFUUNJBMSHYWDF}

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	2026-07-05T06:56:19.864559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33baebfb187f432496946a42c91f1619706af3d317a56cf860fbcef6cc69defb

Aliases

arxiv: 2203.05415 · arxiv_version: 2203.05415v2 · doi: 10.48550/arxiv.2203.05415 · pith_short_12: GO5OX6YYP5BS · pith_short_16: GO5OX6YYP5BSJFUU · pith_short_8: GO5OX6YY

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/GO5OX6YYP5BSJFUUNJBMSHYWDF \
  | 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: 33baebfb187f432496946a42c91f1619706af3d317a56cf860fbcef6cc69defb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5cfb4179c71383e6fe9efd2aaca88063ef3869440d4b2b4883226250c0f226e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-03-10T15:11:51Z",
    "title_canon_sha256": "481aa99012fce16798ebf54f4bc9d8c2d31ac26ef740580a3e6f6f8fa50d9bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.05415",
    "kind": "arxiv",
    "version": 2
  }
}