Pith Number

pith:7KLKDGL2

pith:2025:7KLKDGL2IBJBOONVK2WAFGGJ4H

not attested not anchored not stored refs pending

Quasinormal Modes of Schwarzschild Black Holes in the Dehnen-(1, 4, 5/2) Type Dark Matter Halos

Dong Liu, Qi-Qi Liang, Zheng-Wen Long

arxiv:2505.15540 v1 · 2025-05-21 · 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{7KLKDGL2IBJBOONVK2WAFGGJ4H}

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	2026-07-05T11:06:47.499369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa96a1997a40521739b556ac0298c9e1f3a80f8765e7765f19c3a3e128b07e48

Aliases

arxiv: 2505.15540 · arxiv_version: 2505.15540v1 · doi: 10.48550/arxiv.2505.15540 · pith_short_12: 7KLKDGL2IBJB · pith_short_16: 7KLKDGL2IBJBOONV · pith_short_8: 7KLKDGL2

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/7KLKDGL2IBJBOONVK2WAFGGJ4H \
  | 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: fa96a1997a40521739b556ac0298c9e1f3a80f8765e7765f19c3a3e128b07e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8434440bcb354aa6ae05da844e518c14f331c29eb950d3df4a4716d564cec4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-05-21T14:03:30Z",
    "title_canon_sha256": "b459c7469e2f9680ead24f744419611308212678ae7d97c2d606e37f1c19b0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15540",
    "kind": "arxiv",
    "version": 1
  }
}