Pith Number

pith:ONB5NQBN

pith:2010:ONB5NQBN6XCDS6AAAEJJXW6YMS

not attested not anchored not stored refs pending

A simple derivation of level spacing of quasinormal frequencies for a black hole with a deficit solid angle and quintessence-like matter

Ping Xi, Xi-Chen Ao, Xin-zhou Li

arxiv:1005.4102 v2 · 2010-05-22 · 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{ONB5NQBN6XCDS6AAAEJJXW6YMS}

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	2026-05-18T04:37:10.181048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7343d6c02df5c439780001129bdbd8648188a2a75a1043418d3d4cedd091545d

Aliases

arxiv: 1005.4102 · arxiv_version: 1005.4102v2 · doi: 10.48550/arxiv.1005.4102 · pith_short_12: ONB5NQBN6XCD · pith_short_16: ONB5NQBN6XCDS6AA · pith_short_8: ONB5NQBN

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/ONB5NQBN6XCDS6AAAEJJXW6YMS \
  | 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: 7343d6c02df5c439780001129bdbd8648188a2a75a1043418d3d4cedd091545d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7abb3e443e707462a1ed4c927a1242165b7696080a7eddff860d9ad7963bf428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-22T03:26:11Z",
    "title_canon_sha256": "bb9789f79ff8baa885899d64733b39fe891229fe128a774f7b24edb47e66178d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4102",
    "kind": "arxiv",
    "version": 2
  }
}