Pith Number

pith:IXLIW435

pith:2024:IXLIW4356Q35TSAODEVLY64EBV

not attested not anchored not stored refs pending

Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo

Benrong Mu, Jun Tao, Yanqiang Liu, Yuling Weng

arxiv:2409.20333 v2 · 2024-09-30 · 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{IXLIW4356Q35TSAODEVLY64EBV}

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	2026-07-05T09:17:49.278811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d68b737df437d9c80e192abc7b840d7096c31d1f2f6bafd795b797f47957b3

Aliases

arxiv: 2409.20333 · arxiv_version: 2409.20333v2 · doi: 10.48550/arxiv.2409.20333 · pith_short_12: IXLIW4356Q35 · pith_short_16: IXLIW4356Q35TSAO · pith_short_8: IXLIW435

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/IXLIW4356Q35TSAODEVLY64EBV \
  | 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: 45d68b737df437d9c80e192abc7b840d7096c31d1f2f6bafd795b797f47957b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41bd200f098afaf8121eeb3845f08e55eead616d85577bbecc0315b86c6e162",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-09-30T14:36:26Z",
    "title_canon_sha256": "ca5240ac6977da454a7a87ad590dad55b57eeb0bcf32c27fe8ba3f4ca74790da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.20333",
    "kind": "arxiv",
    "version": 2
  }
}