Pith Number

pith:IX4BD2JW

pith:2020:IX4BD2JWYICIVXTF23KVUY7COA

not attested not anchored not stored refs pending

Strong lensing by DHOST black holes

Armando A. Roque, Benito Rodr\'iguez, C. Ortiz, Javier Chagoya

arxiv:2007.09473 v1 · 2020-07-18 · 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{IX4BD2JWYICIVXTF23KVUY7COA}

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	2026-07-05T02:47:24.300569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f811e936c2048ade65d6d55a63e27039a9721ee5ebad13c095936ed7390413

Aliases

arxiv: 2007.09473 · arxiv_version: 2007.09473v1 · doi: 10.48550/arxiv.2007.09473 · pith_short_12: IX4BD2JWYICI · pith_short_16: IX4BD2JWYICIVXTF · pith_short_8: IX4BD2JW

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/IX4BD2JWYICIVXTF23KVUY7COA \
  | 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: 45f811e936c2048ade65d6d55a63e27039a9721ee5ebad13c095936ed7390413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f815d8ff57adbf845ef737ae7d5281a1ef46a8636e65ab8fb8b7966f2058927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-18T16:50:45Z",
    "title_canon_sha256": "d8a511cb3139a5b1c1bff40a56d826a7438b33823b37696bf1893de3a033dc69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09473",
    "kind": "arxiv",
    "version": 1
  }
}