Pith Number

pith:XAHSLAOL

pith:2019:XAHSLAOL7RP2LNKEHSO6B4RX6R

not attested not anchored not stored refs pending

Modified gravity black hole lensing observables in weak and strong field of gravity

E.R. Zhdanov, K.K. Nandi, R.Kh. Karimov, R.N. Izmailov

arxiv:1905.01900 v2 · 2019-05-06 · 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{XAHSLAOL7RP2LNKEHSO6B4RX6R}

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 properties of static black holes embedded in a Dehnen type dark matter halo with the presence of quintessential field

Receipt and verification

First computed	2026-07-05T07:13:17.834910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b80f2581cbfc5fa5b5443c9de0f237f47748c283d5b79f8bf33c716891cfb165

Aliases

arxiv: 1905.01900 · arxiv_version: 1905.01900v2 · doi: 10.48550/arxiv.1905.01900 · pith_short_12: XAHSLAOL7RP2 · pith_short_16: XAHSLAOL7RP2LNKE · pith_short_8: XAHSLAOL

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/XAHSLAOL7RP2LNKEHSO6B4RX6R \
  | 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: b80f2581cbfc5fa5b5443c9de0f237f47748c283d5b79f8bf33c716891cfb165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2734f057cd6fe8668c10c1375dfcff509448813a4453ce33af46b31eea57f41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-05-06T09:47:48Z",
    "title_canon_sha256": "0ad4882e7a1eb76dacaf2e1dc949a77a0884d6844a098545b36751db439dbed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01900",
    "kind": "arxiv",
    "version": 2
  }
}