Pith Number

pith:ZBG5BYP2

pith:2025:ZBG5BYP222M37F3M3KUQWV22RC

not attested not anchored not stored refs pending

Optimal Detection Bands for Intermediate-Mass Black Hole Binaries: Prospects for LISA and AMIGO in General Relativity and $f(R, T)$ Gravity

Marcelo M. Lapola, Oswaldo D. Miranda

arxiv:2507.04392 v1 · 2025-07-06 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBG5BYP222M37F3M3KUQWV22RC}

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	2026-07-05T11:34:11.453278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84dd0e1fad699bf976cdaa90b575a88a6af3e641ca28140b64dc3aa40236a98

Aliases

arxiv: 2507.04392 · arxiv_version: 2507.04392v1 · doi: 10.48550/arxiv.2507.04392 · pith_short_12: ZBG5BYP222M3 · pith_short_16: ZBG5BYP222M37F3M · pith_short_8: ZBG5BYP2

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/ZBG5BYP222M37F3M3KUQWV22RC \
  | 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: c84dd0e1fad699bf976cdaa90b575a88a6af3e641ca28140b64dc3aa40236a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0885a4bf6c1f5065992fbc9aa92dc8a1325449c44f85b6ba0bddb89b3fa5fffa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-06T13:48:05Z",
    "title_canon_sha256": "3dc5cffa8af9e6039ba89e77e1724aed3279ba4708cec352582762e7076dd27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04392",
    "kind": "arxiv",
    "version": 1
  }
}