Pith Number

pith:HNLFO5YM

pith:2019:HNLFO5YMM6HLVG3HOR7QO43T47

not attested not anchored not stored refs pending

Weak and strong deflection gravitational lensings by a charged Horndeski black hole

Cheng-Yi Wang, Yi Xie, Yu-fu Shen

arxiv:1902.03789 v3 · 2019-02-11 · 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{HNLFO5YMM6HLVG3HOR7QO43T47}

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	2026-05-17T23:46:18.646467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b5657770c678eba9b67747f077373e7cb49a28d42c58c56693812fb65619057

Aliases

arxiv: 1902.03789 · arxiv_version: 1902.03789v3 · doi: 10.48550/arxiv.1902.03789 · pith_short_12: HNLFO5YMM6HL · pith_short_16: HNLFO5YMM6HLVG3H · pith_short_8: HNLFO5YM

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/HNLFO5YMM6HLVG3HOR7QO43T47 \
  | 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: 3b5657770c678eba9b67747f077373e7cb49a28d42c58c56693812fb65619057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abb385669d16c97f8f390780e9ffeca957b7a8dbb725ca90c6308c40a595c34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-02-11T09:37:51Z",
    "title_canon_sha256": "18c1c4208ce2a1df7d3ef1f4f5618faaa151e80b49e43f0b0ca3526e4611540d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03789",
    "kind": "arxiv",
    "version": 3
  }
}