Pith Number

pith:CKOESBID

pith:2015:CKOESBIDIQQSIWJYG6WCWHI34E

not attested not anchored not stored refs pending

A Spectral Representation for Spin-Weighted Spheroidal Wave Operators with Complex Aspherical Parameter

Felix Finster, Joel Smoller

arxiv:1507.05756 v3 · 2015-07-21 · math-ph · gr-qc · math.CA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKOESBIDIQQSIWJYG6WCWHI34E}

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.

Receipt and verification

First computed	2026-05-18T01:19:16.010703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129c490503442124593837ac2b1d1be13ba5c5d54d6fa814ba9101a9123bbf6e

Aliases

arxiv: 1507.05756 · arxiv_version: 1507.05756v3 · doi: 10.48550/arxiv.1507.05756 · pith_short_12: CKOESBIDIQQS · pith_short_16: CKOESBIDIQQSIWJY · pith_short_8: CKOESBID

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/CKOESBIDIQQSIWJYG6WCWHI34E \
  | 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: 129c490503442124593837ac2b1d1be13ba5c5d54d6fa814ba9101a9123bbf6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f128c42f5c43b9ef2b07d76ed8e696584af79de34c1537d8e0399cab266a3c30",
    "cross_cats_sorted": [
      "gr-qc",
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-21T09:18:29Z",
    "title_canon_sha256": "66bf0d2dd22224bcc93df864decd2823f90735e966f09d1971dde475c7b1e3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05756",
    "kind": "arxiv",
    "version": 3
  }
}