Pith Number

pith:ZBW6UJT5

pith:2006:ZBW6UJT5L4TEJZ52IWJSWT2Q5V

not attested not anchored not stored refs pending

Massive scalar field quasinormal modes of a Schwarzschild black hole surrounded by quintessence

Chunrui Ma, Fujun Wang, Wei Wang, Yuanxing Gui

arxiv:gr-qc/0611146 v2 · 2006-11-28 · 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{ZBW6UJT5L4TEJZ52IWJSWT2Q5V}

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

1 paper in Pith

Quasinormal modes of black holes: from astrophysics to string theory

Receipt and verification

First computed	2026-05-18T01:39:19.987945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86dea267d5f2644e7ba45932b4f50ed68f9c463fe055e4eee059a8e624d8730

Aliases

arxiv: gr-qc/0611146 · arxiv_version: gr-qc/0611146v2 · doi: 10.48550/arxiv.gr-qc/0611146 · pith_short_12: ZBW6UJT5L4TE · pith_short_16: ZBW6UJT5L4TEJZ52 · pith_short_8: ZBW6UJT5

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/ZBW6UJT5L4TEJZ52IWJSWT2Q5V \
  | 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: c86dea267d5f2644e7ba45932b4f50ed68f9c463fe055e4eee059a8e624d8730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad9bf05dfc553f2fc9ff8ef8214ac1be890c112c7c842be2c86e679cc1a8188",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-11-28T12:52:32Z",
    "title_canon_sha256": "e484655214a3876822ba1833b14ec3e3cd6755cf8b7192c8c8e353319859eff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0611146",
    "kind": "arxiv",
    "version": 2
  }
}