Pith Number

pith:ZABGOWQO

pith:2024:ZABGOWQOVV6VX7HYON7NOP4BXD

not attested not anchored not stored refs pending

Strong Gravitational Lensing Effects of the Rotating Short-Haired Black Hole and Constraints from EHT Observations

Lai Zhao, Meirong Tang, Zhaoyi Xu

arxiv:2408.01205 v3 · 2024-08-02 · 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{ZABGOWQOVV6VX7HYON7NOP4BXD}

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.

Receipt and verification

First computed	2026-07-05T10:54:35.115965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c802675a0ead7d5bfcf8737ed73f81b8f25d2a2d0e998676ca49cfb9dab2e66f

Aliases

arxiv: 2408.01205 · arxiv_version: 2408.01205v3 · doi: 10.48550/arxiv.2408.01205 · pith_short_12: ZABGOWQOVV6V · pith_short_16: ZABGOWQOVV6VX7HY · pith_short_8: ZABGOWQO

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/ZABGOWQOVV6VX7HYON7NOP4BXD \
  | 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: c802675a0ead7d5bfcf8737ed73f81b8f25d2a2d0e998676ca49cfb9dab2e66f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a47d8fd892d39003621d7a1e81282ccf0d5ca85decbc9e55e598f3d292300a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-08-02T11:38:08Z",
    "title_canon_sha256": "f212731be4da7d415d9436f1b2ef5e21bc3720274f20dcbe4bed65599e2c0e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01205",
    "kind": "arxiv",
    "version": 3
  }
}