Pith Number

pith:RY4SVU4F

pith:2003:RY4SVU4F5TWCWGJ4YW7BKJUWDM

not attested not anchored not stored refs pending

Dirac Quasi-Normal Modes in Schwarzschild Black Hole Spacetimes

Hing Tong Cho

arxiv:gr-qc/0303078 v1 · 2003-03-20 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RY4SVU4F5TWCWGJ4YW7BKJUWDM}

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

3 papers in Pith

Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes

Quasibound states of a charged Dirac field around regular black holes

Quasinormal modes of black holes and black branes

Receipt and verification

First computed	2026-07-04T15:52:06.671331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e392ad385ecec2b193cc5be1526961b36714312384c3f5af3f6a695dc102701

Aliases

arxiv: gr-qc/0303078 · arxiv_version: gr-qc/0303078v1 · doi: 10.48550/arxiv.gr-qc/0303078 · pith_short_12: RY4SVU4F5TWC · pith_short_16: RY4SVU4F5TWCWGJ4 · pith_short_8: RY4SVU4F

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/RY4SVU4F5TWCWGJ4YW7BKJUWDM \
  | 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: 8e392ad385ecec2b193cc5be1526961b36714312384c3f5af3f6a695dc102701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ce9106ffbdc9ba3e392bd921f7171d93746d5795536c2b42440f51b5db7240",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-03-20T06:19:44Z",
    "title_canon_sha256": "9869883752eb468a112c40f32fb8744d5948a793dfc524074a1998bc03b316c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0303078",
    "kind": "arxiv",
    "version": 1
  }
}