Pith Number

pith:3ON3KRAK

pith:2019:3ON3KRAKLXRG564MPYXKYNBYMS

not attested not anchored not stored refs pending

Lensing by Kerr Black Holes

Alexandru Lupsasca, Samuel E. Gralla

arxiv:1910.12873 v2 · 2019-10-28 · gr-qc · astro-ph.HE · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ON3KRAKLXRG564MPYXKYNBYMS}

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.

Cited by

7 papers in Pith

Shadow, acoustic redshift, and transfer observables of Lorentz-violating rotating acoustic black holes

Light Propagation Prescriptions for Black Hole Movies

Black Hole Ringdown Seen in Photon Polarization Swings

Adaptive ray tracing, image diagnostics, and photon ring signatures of rotating dark-matter-dressed black holes

Black hole spectroscopy: from theory to experiment

Receipt and verification

First computed	2026-07-05T00:41:00.005543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9bb5440a5de26efb8c7e2eac3438648544c05914b0ff6f6112be81a0738e16

Aliases

arxiv: 1910.12873 · arxiv_version: 1910.12873v2 · doi: 10.48550/arxiv.1910.12873 · pith_short_12: 3ON3KRAKLXRG · pith_short_16: 3ON3KRAKLXRG564M · pith_short_8: 3ON3KRAK

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/3ON3KRAKLXRG564MPYXKYNBYMS \
  | 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: db9bb5440a5de26efb8c7e2eac3438648544c05914b0ff6f6112be81a0738e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9058f80ba7b625021315ee6b4db59ed37e6327b14388205e795d4b9c2aa471f7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-10-28T18:00:01Z",
    "title_canon_sha256": "3d7413597467148db151fd414106b10b9da1eb8368cf1635ad84072304c3b218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.12873",
    "kind": "arxiv",
    "version": 2
  }
}