Pith Number

pith:Q2URKYK6

pith:2009:Q2URKYK6BPFIPCNZ2F3BYQC7QV

not attested not anchored not stored refs pending

Strong field gravitational lensing in the deformed H\v{o}rava-Lifshitz black hole

Jiliang Jing, Songbai Chen

arxiv:0905.2055 v3 · 2009-05-13 · 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{Q2URKYK6BPFIPCNZ2F3BYQC7QV}

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	2026-07-04T15:47:51.889191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a915615e0bca8789b9d1761c405f857e146d4cd8c41fc883193f9a387f61da

Aliases

arxiv: 0905.2055 · arxiv_version: 0905.2055v3 · doi: 10.48550/arxiv.0905.2055 · pith_short_12: Q2URKYK6BPFI · pith_short_16: Q2URKYK6BPFIPCNZ · pith_short_8: Q2URKYK6

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/Q2URKYK6BPFIPCNZ2F3BYQC7QV \
  | 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: 86a915615e0bca8789b9d1761c405f857e146d4cd8c41fc883193f9a387f61da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62bf11c20796d1e129f16de3f785114aefdb08d2c25c5ac3ea313b272beb2016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-05-13T10:24:46Z",
    "title_canon_sha256": "3b20e929a47b59c19413bcc09827cf5b37a82543487533f11416efce59a38fec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2055",
    "kind": "arxiv",
    "version": 3
  }
}