Pith Number

pith:7DJ4TUJP

pith:2026:7DJ4TUJP63UNVXFJ3AIRK254RK

not attested not anchored not stored refs pending

The third wheel: ringdown and lensing of triple systems

Giuseppe Ficarra, Jaime Redondo-Yuste, Jo\~ao Sieiro dos Santos, Vitor Cardoso

arxiv:2605.20320 v1 · 2026-05-19 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DJ4TUJP63UNVXFJ3AIRK254RK}

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	2026-05-21T00:04:25.248586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d3c9d12ff6e8dadca9d811156bbc8aa253856fc2c04954ca3b8543f287e043

Aliases

arxiv: 2605.20320 · arxiv_version: 2605.20320v1 · doi: 10.48550/arxiv.2605.20320 · pith_short_12: 7DJ4TUJP63UN · pith_short_16: 7DJ4TUJP63UNVXFJ · pith_short_8: 7DJ4TUJP

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/7DJ4TUJP63UNVXFJ3AIRK254RK \
  | 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: f8d3c9d12ff6e8dadca9d811156bbc8aa253856fc2c04954ca3b8543f287e043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d6e2f9b832b314d478419018b034818049f61ded9960b67d264fe5a733a0bd",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-19T18:00:00Z",
    "title_canon_sha256": "4d1d75df3416bdc87753c62730b7967a048dce00bb209324e38109f77929205c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20320",
    "kind": "arxiv",
    "version": 1
  }
}