Pith Number

pith:KCZN5E3T

pith:2026:KCZN5E3T52O7DTA7X3Q5MZLSN5

not attested not anchored not stored refs pending

Plasma effects on gravitational lensing and shadow observables of a Kerr-like black hole in a dark matter halo

Connor McMillin, Leo Rodriguez, Lotus Liu, Owen Gartlan, Shanshan Rodriguez, Zhichen Guan

arxiv:2603.11434 v2 · 2026-03-12 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCZN5E3T52O7DTA7X3Q5MZLSN5}

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	2026-06-26T01:15:18.277327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b2de9373ee9df1cc1fbee1d665726f6ba95432f0b88849f5fad7af1023d5ac

Aliases

arxiv: 2603.11434 · arxiv_version: 2603.11434v2 · doi: 10.48550/arxiv.2603.11434 · pith_short_12: KCZN5E3T52O7 · pith_short_16: KCZN5E3T52O7DTA7 · pith_short_8: KCZN5E3T

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/KCZN5E3T52O7DTA7X3Q5MZLSN5 \
  | 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: 50b2de9373ee9df1cc1fbee1d665726f6ba95432f0b88849f5fad7af1023d5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22724cc7c13a7f074626ee2f5c5cce98cb6bdaf62f936543ed3ca0eeb5ae3c9",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-12T01:55:23Z",
    "title_canon_sha256": "3bb8614acd16242c5c446cf24340f14186dbd65b38bb964ebd9dd42fde6e3256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.11434",
    "kind": "arxiv",
    "version": 2
  }
}