Pith Number

pith:CO2VZHCH

pith:2026:CO2VZHCH4OJ3J36ZM4XUKVAYLG

not attested not anchored not stored refs pending

Quasinormal modes and tidal responses of black holes in generic anisotropic matter environments

Paolo Pani, Yu-Qian Zhao

arxiv:2606.11380 v1 · 2026-06-09 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CO2VZHCH4OJ3J36ZM4XUKVAYLG}

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	2026-06-11T00:08:22.550484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b55c9c47e393b4efd9672f45541859b6209594e52682c0ac236770deaea478

Aliases

arxiv: 2606.11380 · arxiv_version: 2606.11380v1 · doi: 10.48550/arxiv.2606.11380 · pith_short_12: CO2VZHCH4OJ3 · pith_short_16: CO2VZHCH4OJ3J36Z · pith_short_8: CO2VZHCH

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/CO2VZHCH4OJ3J36ZM4XUKVAYLG \
  | 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: 13b55c9c47e393b4efd9672f45541859b6209594e52682c0ac236770deaea478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82bf15990aaf836b9adbbf7777c655693dcb3982ca24dec81b59c1f39112f8f1",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-09T19:04:09Z",
    "title_canon_sha256": "d210e6d705e50519caf3b3f9095bb675227e76b22f3b28543f2b12feaf35567f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11380",
    "kind": "arxiv",
    "version": 1
  }
}