Pith Number

pith:H3XNOZY5

pith:2026:H3XNOZY5UF3F24XZALBD73GEH4

not attested not anchored not stored refs pending

Gravitational perturbations of a regular T-duality inspired black hole: Quasinormal modes, excitation factors, and time-domain evolution

Bekir Can L\"utf\"uo\u{g}lu, Javlon Rayimbaev, Mardon Abdullaev, Shavkat Karshiboev, Shokhzod Jumaniyozov

arxiv:2607.07715 v1 · 2026-07-03 · gr-qc · 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{H3XNOZY5UF3F24XZALBD73GEH4}

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	2026-07-10T00:18:47.081677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eeed7671da1765d72f902c23fecc43f1256f7baaa6bb352ef7f5c6262f63329

Aliases

arxiv: 2607.07715 · arxiv_version: 2607.07715v1 · doi: 10.48550/arxiv.2607.07715 · pith_short_12: H3XNOZY5UF3F · pith_short_16: H3XNOZY5UF3F24XZ · pith_short_8: H3XNOZY5

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/H3XNOZY5UF3F24XZALBD73GEH4 \
  | 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: 3eeed7671da1765d72f902c23fecc43f1256f7baaa6bb352ef7f5c6262f63329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe63542ca62ee6c5f1552a60736553a1b5977bfd2bbaf44a08d7fe26a5c890a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-03T18:43:45Z",
    "title_canon_sha256": "226121b3f97410378fc2a9209d5418bea5cac7c2667d265e075a222b74157ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07715",
    "kind": "arxiv",
    "version": 1
  }
}