Pith Number

pith:FB6KIOQA

pith:2022:FB6KIOQAS6IQ6N75L75DQO4UYA

not attested not anchored not stored refs pending

Gravitational lensing by the hairy Schwarzschild black hole

Anisur Rahaman, Sohan Kumar Jha

arxiv:2205.06052 v1 · 2022-05-12 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FB6KIOQAS6IQ6N75L75DQO4UYA}

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

Thin Accretion Disk Around Rotating Hairy Black Hole: Radiative Property and Optical Appearance

Receipt and verification

First computed	2026-07-05T04:22:45.073237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287ca43a0097910f37fd5ffa383b94c00c8adcb673d8ac269ad336e5ead4277d

Aliases

arxiv: 2205.06052 · arxiv_version: 2205.06052v1 · doi: 10.48550/arxiv.2205.06052 · pith_short_12: FB6KIOQAS6IQ · pith_short_16: FB6KIOQAS6IQ6N75 · pith_short_8: FB6KIOQA

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/FB6KIOQAS6IQ6N75L75DQO4UYA \
  | 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: 287ca43a0097910f37fd5ffa383b94c00c8adcb673d8ac269ad336e5ead4277d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0a845f316c6eacc6d949794909cbe58c6a525fe37732b378d9cc0945e7cd22",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-05-12T12:41:05Z",
    "title_canon_sha256": "fdeb64e6115c482e0abbbad6126525b5cf6f288d167c6efa6b947cd5a18b99ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.06052",
    "kind": "arxiv",
    "version": 1
  }
}