Pith Number

pith:AOKB7VR4

pith:2015:AOKB7VR4FZUPXPVJJHST2FL7D6

not attested not anchored not stored refs pending

Linear waves in the interior of extremal black holes I

Dejan Gajic

arxiv:1509.06568 v1 · 2015-09-22 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOKB7VR4FZUPXPVJJHST2FL7D6}

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

Boundedness of massless scalar waves on Kerr interior backgrounds

Receipt and verification

First computed	2026-05-18T00:54:41.357024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03941fd63c2e68fbbea949e53d157f1fa89888aa2f12eefeff482eb9e52dac37

Aliases

arxiv: 1509.06568 · arxiv_version: 1509.06568v1 · doi: 10.48550/arxiv.1509.06568 · pith_short_12: AOKB7VR4FZUP · pith_short_16: AOKB7VR4FZUPXPVJ · pith_short_8: AOKB7VR4

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/AOKB7VR4FZUPXPVJJHST2FL7D6 \
  | 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: 03941fd63c2e68fbbea949e53d157f1fa89888aa2f12eefeff482eb9e52dac37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd63bac7df8a0c9c5868b48d1a90c6bdfded48fc667bcfded30e38e0a8eaeb80",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-22T12:29:24Z",
    "title_canon_sha256": "c85b01526f992da8b1b47fe70600ce42790cc1435b0bd4bd986b44a03a678d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06568",
    "kind": "arxiv",
    "version": 1
  }
}