pith. sign in
Pith Number

pith:WTR3AYYP

pith:2014:WTR3AYYP2JKLLTWOAZBOBK5YM3
not attested not anchored not stored refs pending

Black holes in massive gravity: Quasi-normal modes of scalar perturbations

Sharmanthie Fernando, Tyler Clark

arxiv:1411.6537 v2 · 2014-11-24 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WTR3AYYP2JKLLTWOAZBOBK5YM3}

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 2026-05-18T01:41:26.242396Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b4e3b0630fd254b5cece0642e0abb866d3bc7f3ef6ac7e03460db0d9be864c66

Aliases

arxiv: 1411.6537 · arxiv_version: 1411.6537v2 · doi: 10.48550/arxiv.1411.6537 · pith_short_12: WTR3AYYP2JKL · pith_short_16: WTR3AYYP2JKLLTWO · pith_short_8: WTR3AYYP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WTR3AYYP2JKLLTWOAZBOBK5YM3 \
  | 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: b4e3b0630fd254b5cece0642e0abb866d3bc7f3ef6ac7e03460db0d9be864c66
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8107a572e1de32e111b665377b8b62a7d3ce4c2275c840c69b41ff6e549b6561",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-24T17:25:29Z",
    "title_canon_sha256": "ea9883b05e6ef8e3bb9ea9835f465c71b728a7741e9679bef4d8cfae3ce681f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6537",
    "kind": "arxiv",
    "version": 2
  }
}