Pith Number

pith:GIJ2Z6NB

pith:2004:GIJ2Z6NBL2QOVGFC2ZFMLZVIWH

not attested not anchored not stored refs pending

Quasinormal modes of charged black holes in string theory

Fu-Wen Shu, You-Gen Shen

arxiv:gr-qc/0410108 v1 · 2004-10-21 · 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{GIJ2Z6NBL2QOVGFC2ZFMLZVIWH}

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	2026-07-04T15:20:17.642178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3213acf9a15ea0ea98a2d64ac5e6a8b1f36bbf5c5121ad6b5a7219630e4bfe9a

Aliases

arxiv: gr-qc/0410108 · arxiv_version: gr-qc/0410108v1 · doi: 10.48550/arxiv.gr-qc/0410108 · pith_short_12: GIJ2Z6NBL2QO · pith_short_16: GIJ2Z6NBL2QOVGFC · pith_short_8: GIJ2Z6NB

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/GIJ2Z6NBL2QOVGFC2ZFMLZVIWH \
  | 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: 3213acf9a15ea0ea98a2d64ac5e6a8b1f36bbf5c5121ad6b5a7219630e4bfe9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f543f62e223112f4f44df17fb1ddd653c1d30558f3b47b21e3ffad82cd6a6735",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-10-21T12:40:37Z",
    "title_canon_sha256": "1352ed676a8d2ec5b4a3ddc1180a2ef46494c4b04a96579bf489053acd076fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0410108",
    "kind": "arxiv",
    "version": 1
  }
}