Pith Number

pith:MRW4KBQM

pith:2024:MRW4KBQMTUSSSF6DFW2ILGJNTZ

not attested not anchored not stored refs pending

Conservation of distortion of gravitationally lensed images

K. S. Virbhadra

arxiv:2402.17190 v2 · 2024-02-27 · gr-qc · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRW4KBQMTUSSSF6DFW2ILGJNTZ}

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

3 papers in Pith

Regular black hole solutions and the quark chemical potential at the QCD phase transition

Signatures of a de Sitter-core black hole in ringing, transmission and optical appearance

Boundary-only weak deflection angles from isothermal optical geometry

Receipt and verification

First computed	2026-07-05T08:27:04.777781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646dc5060c9d252917c32db485992d9e73a0f03c606d31695e5c3f78625b3009

Aliases

arxiv: 2402.17190 · arxiv_version: 2402.17190v2 · doi: 10.48550/arxiv.2402.17190 · pith_short_12: MRW4KBQMTUSS · pith_short_16: MRW4KBQMTUSSSF6D · pith_short_8: MRW4KBQM

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/MRW4KBQMTUSSSF6DFW2ILGJNTZ \
  | 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: 646dc5060c9d252917c32db485992d9e73a0f03c606d31695e5c3f78625b3009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d66d6d1c9ed7009c8f2300046ae78561e23f560fb9aa2edf0c5bede564fc7c",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-02-27T04:11:58Z",
    "title_canon_sha256": "7eb55fe1317314d5c3356f2d6d52e34e7d3ca14c8c554664fe8a0836bc4e1cda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.17190",
    "kind": "arxiv",
    "version": 2
  }
}