Pith Number

pith:FPJZ4SHQ

pith:2018:FPJZ4SHQAZ4QQJLZU5YEKFOPDB

not attested not anchored not stored refs pending

Spherical Skyrmion black holes as gravitational lenses

Carlos M. Sendra, Ernesto F. Eiroa, Fabrizio Canfora

arxiv:1805.03626 v2 · 2018-05-09 · 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{FPJZ4SHQAZ4QQJLZU5YEKFOPDB}

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	2026-05-18T00:07:40.404977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd39e48f00679082579a7704515cf18733a60f2cddb8b184dab623b7ef50a93

Aliases

arxiv: 1805.03626 · arxiv_version: 1805.03626v2 · doi: 10.48550/arxiv.1805.03626 · pith_short_12: FPJZ4SHQAZ4Q · pith_short_16: FPJZ4SHQAZ4QQJLZ · pith_short_8: FPJZ4SHQ

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/FPJZ4SHQAZ4QQJLZU5YEKFOPDB \
  | 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: 2bd39e48f00679082579a7704515cf18733a60f2cddb8b184dab623b7ef50a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38d350442975fa1d5172bafb042b99f1c6f1dbcb883b8914ede57df826a2417",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-05-09T17:27:47Z",
    "title_canon_sha256": "8d83bf0c33a584b879b543f14789e4ef82837932cd0b63b892892020cd58d8fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03626",
    "kind": "arxiv",
    "version": 2
  }
}