Pith Number

pith:KKQQ2VXV

pith:2023:KKQQ2VXV63GOUA562D6NQW3QJK

not attested not anchored not stored refs pending

Strong lensing as a probe of braneworld

Dan Wen, Hong Liu, Hongsheng Zhang, Yi Zhang

arxiv:2312.15714 v4 · 2023-12-25 · 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{KKQQ2VXV63GOUA562D6NQW3QJK}

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

Astrophysical environment around a black hole in the braneworld and its optical signatures

Receipt and verification

First computed	2026-07-05T09:16:11.105993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a10d56f5f6ccea03bed0fcd85b704a901a764d535665b950e8fd0590cf4442

Aliases

arxiv: 2312.15714 · arxiv_version: 2312.15714v4 · doi: 10.48550/arxiv.2312.15714 · pith_short_12: KKQQ2VXV63GO · pith_short_16: KKQQ2VXV63GOUA56 · pith_short_8: KKQQ2VXV

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/KKQQ2VXV63GOUA562D6NQW3QJK \
  | 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: 52a10d56f5f6ccea03bed0fcd85b704a901a764d535665b950e8fd0590cf4442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2cf9f651104246b87471fbc2237d1e8d8d95ff7dfda1992f8b30a0d2b623cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-12-25T12:52:39Z",
    "title_canon_sha256": "f0396caf5ddcb38517a37f9cedd8921932d8b8bf83817d02e7cbeed59f78b7fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15714",
    "kind": "arxiv",
    "version": 4
  }
}