Pith Number

pith:YMRZEXHR

pith:2023:YMRZEXHREKA6QF24W6JICWKJRJ

not attested not anchored not stored refs pending

Gravitational lensing by a charged spherically symmetric black hole immersed in thin dark matter

Xiao-Jun Gao, Xiao-kun Yan, Ya-Peng Hu, Yihao Yin

arxiv:2303.00190 v2 · 2023-03-01 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMRZEXHREKA6QF24W6JICWKJRJ}

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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

Cosmological coupled black holes immersed in dark sector

Reference-renormalized curvature-primitive Gauss-Bonnet formalism for finite-distance weak gravitational lensing in static spherical spacetimes

Receipt and verification

First computed	2026-07-05T06:00:16.618408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c323925cf12281e8175cb7928159498a5766fd67e03b4fef4d1f5d2b4ddf7ed2

Aliases

arxiv: 2303.00190 · arxiv_version: 2303.00190v2 · doi: 10.48550/arxiv.2303.00190 · pith_short_12: YMRZEXHREKA6 · pith_short_16: YMRZEXHREKA6QF24 · pith_short_8: YMRZEXHR

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/YMRZEXHREKA6QF24W6JICWKJRJ \
  | 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: c323925cf12281e8175cb7928159498a5766fd67e03b4fef4d1f5d2b4ddf7ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d754e8919a2c79ab87cd72a3edd96b408a09f33dc195aef33e3c7c7957c39b69",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-01T02:39:50Z",
    "title_canon_sha256": "18098dc33d0caaa71af5c4643993e5844f5a666dc321c1dd10c14f4937081171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.00190",
    "kind": "arxiv",
    "version": 2
  }
}