pith. sign in
Pith Number

pith:ME33QRUD

pith:2026:ME33QRUDHM7UELY2YGQQ3SQV2H
not attested not anchored not stored refs pending

Shadow, Emission, and Strong-Field Lensing of Dilatonic Black Holes

Aidana Kurmanbek, Ainur Urazalina, Daniya Utepova, Kuantay Boshkayev, Manas Khassanov

arxiv:2606.17284 v1 · 2026-06-15 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ME33QRUDHM7UELY2YGQQ3SQV2H}

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 2026-06-19T16:10:08.133229Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6137b846833b3f422f1ac1a10dca15d1c1c0c9448c27dc076b7438537fd7563d

Aliases

arxiv: 2606.17284 · arxiv_version: 2606.17284v1 · doi: 10.48550/arxiv.2606.17284 · pith_short_12: ME33QRUDHM7U · pith_short_16: ME33QRUDHM7UELY2 · pith_short_8: ME33QRUD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ME33QRUDHM7UELY2YGQQ3SQV2H \
  | 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: 6137b846833b3f422f1ac1a10dca15d1c1c0c9448c27dc076b7438537fd7563d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b1631969d9c5d2f4970f73e1f0b4052089ae9c10a4088758b7ddadb63a1e08e2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-15T20:49:38Z",
    "title_canon_sha256": "36324e4f9796b317ec94ec1a5c1934d3c1b887c0bb4f1c0fd4bf2e49f97b971b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17284",
    "kind": "arxiv",
    "version": 1
  }
}