Pith Number

pith:JTEMB2UT

pith:2007:JTEMB2UT3HUXDMN5X5K4V43I6Z

not attested not anchored not stored refs pending

Heun equation, Teukolsky equation, and type-D metrics

D. Batic, H. Schmid

arxiv:gr-qc/0701064 v2 · 2007-01-11 · 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{JTEMB2UT3HUXDMN5X5K4V43I6Z}

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

Black hole spectroscopy: from theory to experiment

Receipt and verification

First computed	2026-07-04T15:21:59.842279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc8c0ea93d9e971b1bdbf55caf368f653a6d0e4a483ce0cc2db167cd11e5a33

Aliases

arxiv: gr-qc/0701064 · arxiv_version: gr-qc/0701064v2 · doi: 10.48550/arxiv.gr-qc/0701064 · pith_short_12: JTEMB2UT3HUX · pith_short_16: JTEMB2UT3HUXDMN5 · pith_short_8: JTEMB2UT

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/JTEMB2UT3HUXDMN5X5K4V43I6Z \
  | 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: 4cc8c0ea93d9e971b1bdbf55caf368f653a6d0e4a483ce0cc2db167cd11e5a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adebf00a73b7cb49fd1c9f22c788776aa8241c2392d9ea1af87325640837acda",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-01-11T16:54:06Z",
    "title_canon_sha256": "cf12e5742aaab7b717afa4333d2b3439a4666858b6d32ec98feaa476023f306b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0701064",
    "kind": "arxiv",
    "version": 2
  }
}