Pith Number

pith:4IKCD473

pith:2011:4IKCD473LLHMZB6WJZXS6QHJRQ

not attested not anchored not stored refs pending

Resonance and absorption spectra of the Schwarzschild black hole for massive scalar perturbations: a complex angular momentum analysis

Antoine Folacci, Bernard Raffaelli, Yves D\'ecanini

arxiv:1108.5076 v3 · 2011-08-25 · 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{4IKCD473LLHMZB6WJZXS6QHJRQ}

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

Exact WKB method for radial Schr\"odinger equation

Receipt and verification

First computed	2026-05-18T04:10:35.662429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21421f3fb5acecc87d64e6f2f40e98c25ed76bfcefb3c3523f6a9699dc717d2

Aliases

arxiv: 1108.5076 · arxiv_version: 1108.5076v3 · doi: 10.48550/arxiv.1108.5076 · pith_short_12: 4IKCD473LLHM · pith_short_16: 4IKCD473LLHMZB6W · pith_short_8: 4IKCD473

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/4IKCD473LLHMZB6WJZXS6QHJRQ \
  | 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: e21421f3fb5acecc87d64e6f2f40e98c25ed76bfcefb3c3523f6a9699dc717d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6973fa7c070213417998ef6b359b8e7259b587b3159c34c69ea260136b7515",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-25T13:09:46Z",
    "title_canon_sha256": "1436e10b7b497678a3ac8621f03667a42b4a75fd27e701326c885f5b96a3ddbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5076",
    "kind": "arxiv",
    "version": 3
  }
}