Pith Number

pith:RHE34455

pith:2004:RHE34455KBNNNEPMAYVIIRHPK4

not attested not anchored not stored refs pending

Quasinormal mode expansion and the exact solution of the Cauchy problem for wave equations

Nikodem Szpak

arxiv:gr-qc/0411050 v1 · 2004-11-10 · 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{RHE34455KBNNNEPMAYVIIRHPK4}

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

Green function of the P\"{o}schl-Teller potential

Receipt and verification

First computed	2026-07-04T14:25:48.810054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c9be73bd505ad691ec062a8444ef571ac3a3d2544a62b2bfbada0ecfff2be9

Aliases

arxiv: gr-qc/0411050 · arxiv_version: gr-qc/0411050v1 · doi: 10.48550/arxiv.gr-qc/0411050 · pith_short_12: RHE34455KBNN · pith_short_16: RHE34455KBNNNEPM · pith_short_8: RHE34455

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/RHE34455KBNNNEPMAYVIIRHPK4 \
  | 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: 89c9be73bd505ad691ec062a8444ef571ac3a3d2544a62b2bfbada0ecfff2be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be31e535e891de024517eb84e2dfaf39351405c87a1884ecabcc99cba4cf848f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-11-10T01:30:49Z",
    "title_canon_sha256": "330903ed26f81191a4b9ee1122e69529e546aa5996457cfd129bb6ec396a6aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0411050",
    "kind": "arxiv",
    "version": 1
  }
}