Pith Number

pith:PQFRD3UU

pith:2025:PQFRD3UUDITLMNVEYCJUBLMROH

not attested not anchored not stored refs pending

Shadow and Quasi-Normal Modes of Schwarzschild-Hernquist Black Hole

Guang-Yu Zhang, Xing-Hui Feng

arxiv:2509.04001 v2 · 2025-09-04 · 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{PQFRD3UUDITLMNVEYCJUBLMROH}

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

3 papers in Pith

Geodesics and Thermodynamics of a Schwarzschild Black Hole with Hernquist Dark Matter

Mass-Varying Dark Matter Induced Scalarization and Scalar Clouds around Black Holes

Probing Hernquist dark matter through the optical appearance of black holes: A comprehensive study of various accretions

Receipt and verification

First computed	2026-07-05T12:06:20.345043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0b11ee941a26b636a4c09340ad9171cb70cf56e878ab0ad55a64f135b91fe3

Aliases

arxiv: 2509.04001 · arxiv_version: 2509.04001v2 · doi: 10.48550/arxiv.2509.04001 · pith_short_12: PQFRD3UUDITL · pith_short_16: PQFRD3UUDITLMNVE · pith_short_8: PQFRD3UU

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/PQFRD3UUDITLMNVEYCJUBLMROH \
  | 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: 7c0b11ee941a26b636a4c09340ad9171cb70cf56e878ab0ad55a64f135b91fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9874d818974134d55c567767b0d04ff124b28417e8474d53abd8b78208793397",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-04T08:30:33Z",
    "title_canon_sha256": "03708507d9a17aa4249a5e5b64b16c08e06eef69f99bbac8c9a85991a9195f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04001",
    "kind": "arxiv",
    "version": 2
  }
}