Pith Number

pith:DDS2YWPE

pith:2022:DDS2YWPE6FMLHDE6HO36BIH64P

not attested not anchored not stored refs pending

Constraining a modified gravity theory in strong gravitational lensing and black hole shadow observations

Anzhong Wang, Bin Wang, Xiao-Mei Kuang, Zi-Yu Tang

arxiv:2206.05878 v2 · 2022-06-13 · gr-qc

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDS2YWPE6FMLHDE6HO36BIH64P}

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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

5 papers in Pith

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

Boundary-only weak deflection angles from isothermal optical geometry

Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis

Relative Magnification Factor of Point Sources on Accretion Disks

Unveiling Inner Shadows and Polarization Signatures of Rotating Einstein-Gauss-Bonnet Black Holes

Receipt and verification

First computed	2026-07-05T04:58:16.304294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18e5ac59e4f158b38c9e3bb7e0a0fee3fd50fe47d625e3e042dcf51699bb7274

Aliases

arxiv: 2206.05878 · arxiv_version: 2206.05878v2 · doi: 10.48550/arxiv.2206.05878 · pith_short_12: DDS2YWPE6FML · pith_short_16: DDS2YWPE6FMLHDE6 · pith_short_8: DDS2YWPE

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/DDS2YWPE6FMLHDE6HO36BIH64P \
  | 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: 18e5ac59e4f158b38c9e3bb7e0a0fee3fd50fe47d625e3e042dcf51699bb7274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a58fefb1c60f48c9ecafd8eeaac68f4f086262ec16e2bc9db0f158f7b59368",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-06-13T02:12:23Z",
    "title_canon_sha256": "91b6b64653dd1c27fc26c02a05f3ee5940c5b1981ef69b5396da2184dacb1165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05878",
    "kind": "arxiv",
    "version": 2
  }
}