Pith Number

pith:LKYLN2TL

pith:2015:LKYLN2TLJKI3LFZO52NEZAAYHI

not attested not anchored not stored refs pending

Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity

Daisuke Yoshida, Masahide Yamaguchi, Masaru Siino, Tsutomu Kobayashi

arxiv:1509.02096 v1 · 2015-09-07 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKYLN2TLJKI3LFZO52NEZAAYHI}

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	2026-05-18T01:33:49.735669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab0b6ea6b4a91b5972eee9a4c80183a38f4e9a044e9256ec950ccc97b509d73

Aliases

arxiv: 1509.02096 · arxiv_version: 1509.02096v1 · doi: 10.48550/arxiv.1509.02096 · pith_short_12: LKYLN2TLJKI3 · pith_short_16: LKYLN2TLJKI3LFZO · pith_short_8: LKYLN2TL

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/LKYLN2TLJKI3LFZO52NEZAAYHI \
  | 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: 5ab0b6ea6b4a91b5972eee9a4c80183a38f4e9a044e9256ec950ccc97b509d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58459f0b6f4752c880c0ddde95c87be1a13963a0675317c40e04f36d30a85d55",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-07T15:54:39Z",
    "title_canon_sha256": "03929acd3e7d05bf027dbdca7c9a3cf2a891d4ea9aca853e2c2444d5919f9314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02096",
    "kind": "arxiv",
    "version": 1
  }
}