{"as_of":"2026-08-11T20:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0d9824b22b8ad764eb1261e3137d640281b990053351ec0752d96e5066d211e7","coverage":[{"denominator":155,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:03:28.267800Z","state":"measured"},{"denominator":102,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":102,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:23:01.485732Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T15:23:04.603287Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"cited_work":{"arxiv_id":"2412.15989","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.15989","snapshot_observed_at":"2026-08-07T15:23:04.603287Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","venue":"astro-ph.CO","work_id":"38e1f8cb-7567-490d-a797-ae7a070ad7e1","year":2024},"citing_paper":{"arxiv_id":"2505.15530","last_updated":"2026-06-24T14:23:07Z","snapshot_observed_at":"2026-08-07T16:18:20.807691Z","submitted_at":"2025-05-21T13:52:42Z","title":"A fast deep-learning approach to probing primordial black hole populations in gravitational wave events","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T15:23:01.485732Z"},"links":{"cited_paper":"/paper/2412.15989","citing_paper":"/paper/2505.15530"},"observation_digest":"sha256:7683aef033341772cc962c633de3aa111de7122ca703474c86bd3112f20149a9","observation_id":"f4af116c-a5c9-42b0-bc34-5fa948ecf6e5","resolution":{"observed_at":"2026-08-07T15:23:04.675374Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.15989","snapshot_observed_at":"2026-08-05T15:54:09.710637Z","title":"Clesse, V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.19328","last_updated":"2026-06-02T10:21:11Z","snapshot_observed_at":"2026-08-06T11:12:02.586056Z","submitted_at":"2025-08-26T18:00:00Z","title":"Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-05T15:54:09.710637Z"},"links":{"cited_paper":"/paper/2412.15989","citing_paper":"/paper/2508.19328"},"observation_digest":"sha256:f8a73da7237d2b567a80b60bb0c17bc1d29ae6e40d5788f3501c2da87412a626","observation_id":"47394c88-80f6-4ca5-9c0c-029eff1d009b","resolution":{"observed_at":"2026-08-05T15:54:09.710637Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.15989/citation-record","integrity":"/paper/2412.15989/integrity","json":"/paper/2412.15989/citation-record.json","paper":"/paper/2412.15989"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.525830Z","title":"These Poisson fluctuations give rise to isocurvature per- turbations in the matter power spectrum that could be observable as a small-scale plateau [137] (see also e.g","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.525830Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:9fc5a0d414ff6c61f3ac2267de0aa677980f8da5014ec1ea5663f4a2007d810d","observation_id":"786957bc-3f63-4dd5-89c3-c2dd3e86cf14","resolution":{"observed_at":"2026-08-11T11:03:25.525830Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.541128Z","title":"According to the Press-Schechter formalism, the density fluctuations associated to the matter power spec- trum, including Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.541128Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:c156b52d355dbcd855402a01d590563a88365ddf66631292970dbdd751193b8e","observation_id":"c9d370c0-6c48-4a49-ad6f-6da14917b576","resolution":{"observed_at":"2026-08-11T11:03:25.541128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.518003Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.518003Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:a9f9d87bd9b4e33bcaa91252649b891aa4cac87c16818571e37595e0cd97ba91","observation_id":"f0af67ee-3cfa-43e8-8007-e06cc5d90876","resolution":{"observed_at":"2026-08-11T11:03:25.518003Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.549033Z","title":"This process is similar to the evolution properties of known gravitation- ally interacting systems, for example, star clusters","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.549033Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:50e0b03a8ff5c6c4412dcaac364682c8d015472006387c45101be10fefbe17bb","observation_id":"17e7b1f5-b886-40e5-8f3d-73bce8da7225","resolution":{"observed_at":"2026-08-11T11:03:25.549033Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.606363Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.606363Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:3c02241940c3e4b0d9bf52ff6ccab4a5c2e1520393c00d969ad2b47a612baa6b","observation_id":"8cd07ee0-fe3c-42c1-bbf5-dece24e87ecb","resolution":{"observed_at":"2026-08-11T11:03:25.606363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.687618Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.687618Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:ce451f6c54761af7f73bfd256b852b3c4c7a9a420ad3be6dcc2a2569d2013865","observation_id":"ac8fcf93-4e1c-44ca-9ec3-b3c1e61295f0","resolution":{"observed_at":"2026-08-11T11:03:25.687618Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.769908Z","title":"In our analysis, only the SIGWs will be subject to these con- straints since the GWB from late PBH binaries will con- tribute after CMB","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.769908Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:f211fb18541f00a0aa4ecea96da9c27d949104b18cd1288e9f377118ceab680d","observation_id":"9ac5a2df-21bb-41a6-8b40-7c8e69d3e1ee","resolution":{"observed_at":"2026-08-11T11:03:25.769908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.836630Z","title":"[145, 146]) imposes that, at fL VK= 25 Hz, Ωgw ≤ 1.7 × 10−8","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.836630Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:04b79667e324b03e067a8021a055426a90c914e2ed94da72193cedc4b338b6ea","observation_id":"2a88449a-e409-40d5-8f22-c206f2944ca3","resolution":{"observed_at":"2026-08-11T11:03:25.836630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.850009Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.850009Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:bb7e18304d83c6e9b1722252ce60942917a1b45cedea73a4c564e2ce73b28a38","observation_id":"621fd50a-f86c-417e-9412-bf8ca41776b1","resolution":{"observed_at":"2026-08-11T11:03:25.850009Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.856671Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.856671Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:87167fba611d5e9eacc557c1d2f35f34fe36ef35e7a7af0ccf884294eb57cded","observation_id":"0f378897-afd3-4a4a-893b-0ecaa7129a07","resolution":{"observed_at":"2026-08-11T11:03:25.856671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.864871Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.864871Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:123ff39443a11697bdb2acb9b0ca6e1b16cd489a2a9d9bf4d3ae41c6efd663d2","observation_id":"047d0ad3-c1da-42e4-9888-c01b01cf1231","resolution":{"observed_at":"2026-08-11T11:03:25.864871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:25.872554Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.872554Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:dacedb0ad4bab0e1c27b91bb47d6514c116c4487fcbcccdb62cee85934dfd31e","observation_id":"ea1ea7c3-ceb9-4de6-b937-c9ade922a889","resolution":{"observed_at":"2026-08-11T11:03:25.872554Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0101406","last_updated":"2001-02-21T15:00:14Z","snapshot_observed_at":"2026-07-07T00:15:33.526592Z","submitted_at":"2001-01-23T11:26:58Z","title":"Enhancement of superhorizon scale inflationary curvature perturbations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0101406","snapshot_observed_at":"2026-08-11T11:03:25.878719Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.878719Z"},"links":{"cited_paper":"/paper/astro-ph/0101406","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:50ac953eab4ee25ea7fdddb3addd5136aee9e934c70a852bbaaf434a1157c35f","observation_id":"9b4151db-cbfe-447a-a9d6-9a6d85733cbe","resolution":{"observed_at":"2026-08-11T11:03:25.878719Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.05565","last_updated":"2017-12-14T17:50:50Z","snapshot_observed_at":"2026-08-03T01:46:19.365793Z","submitted_at":"2017-09-16T21:16:20Z","title":"Primordial black hole dark matter from single field inflation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.05565","snapshot_observed_at":"2026-08-11T11:03:25.952745Z","title":"Ballesteros and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:25.952745Z"},"links":{"cited_paper":"/paper/1709.05565","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:c7aad9519f98d59e320338b235db6dd760f1b0d1761b35557d7066b1deae7239","observation_id":"66c1a5ee-a4af-4435-a7fe-34f4dfed7a98","resolution":{"observed_at":"2026-08-11T11:03:25.952745Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.00057","last_updated":"2020-03-19T11:20:26Z","snapshot_observed_at":"2026-07-06T08:33:56.199723Z","submitted_at":"2019-10-31T19:03:26Z","title":"Primordial Black Holes from a tiny bump/dip in the Inflaton potential","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.00057","snapshot_observed_at":"2026-08-11T11:03:26.016962Z","title":null,"venue":null,"work_id":null,"year":1911},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.016962Z"},"links":{"cited_paper":"/paper/1911.00057","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:c0e7d486223a1a36b29f909530385825cc6c889d58a4e5a5ee4b0e758d1ab3fb","observation_id":"2519d434-73ce-4adf-b552-5bdeef718a09","resolution":{"observed_at":"2026-08-11T11:03:26.016962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.05637","last_updated":"2022-01-14T11:58:31Z","snapshot_observed_at":"2026-08-01T15:38:56.675364Z","submitted_at":"2021-06-10T10:20:25Z","title":"Primordial black hole production during first-order phase transitions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.05637","snapshot_observed_at":"2026-08-11T11:03:26.087453Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.087453Z"},"links":{"cited_paper":"/paper/2106.05637","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:02c1610e52d18a81955825241fada748b69a527588835b0edaf750a0c49d995c","observation_id":"e86ad8c3-5d51-41fc-bbc2-36d0e4e6b0e8","resolution":{"observed_at":"2026-08-11T11:03:26.087453Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07481","last_updated":"2025-08-18T19:49:35Z","snapshot_observed_at":"2026-08-04T16:03:06.775005Z","submitted_at":"2021-05-16T16:48:14Z","title":"Primordial Black Holes from First-Order Cosmological Phase Transitions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07481","snapshot_observed_at":"2026-08-11T11:03:26.094014Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.094014Z"},"links":{"cited_paper":"/paper/2105.07481","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:ff1a196d01812987f9c88dcbf624393e5567b2a25c04c26a1656080e5896ab39","observation_id":"c8ec2273-3beb-4196-9f12-6b22bd0f8ad5","resolution":{"observed_at":"2026-08-11T11:03:26.094014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.00111","last_updated":"2021-11-21T23:38:00Z","snapshot_observed_at":"2026-08-05T13:31:13.578766Z","submitted_at":"2021-05-31T21:36:22Z","title":"Primordial black holes from a cosmic phase transition: The collapse of Fermi-balls","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2106.00111","snapshot_observed_at":"2026-08-11T11:03:26.100451Z","title":"Kawana and K.-P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.100451Z"},"links":{"cited_paper":"/paper/2106.00111","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:136147155a48ba35ae441bc006e5f64ad659124d5c1d4d986f45d9c00665cee0","observation_id":"a18ad199-74b3-4702-a58d-14fd6e3a67c3","resolution":{"observed_at":"2026-08-11T11:03:26.100451Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.02840","last_updated":"2022-04-03T18:22:09Z","snapshot_observed_at":"2026-07-06T11:06:58.320432Z","submitted_at":"2021-05-06T17:32:48Z","title":"Dark Matter as dark dwarfs and other macroscopic objects: multiverse relics?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.02840","snapshot_observed_at":"2026-08-11T11:03:26.107231Z","title":"Gross, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.107231Z"},"links":{"cited_paper":"/paper/2105.02840","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:871bf7672e1e925a0b8c274aae6cabcb141f7e603f358267b6bcba514a5d76f6","observation_id":"dcc33059-92c4-4fd9-9070-009459de6fc3","resolution":{"observed_at":"2026-08-11T11:03:26.107231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.01819","last_updated":"2016-02-25T18:36:50Z","snapshot_observed_at":"2026-07-30T23:25:39.041487Z","submitted_at":"2015-12-06T19:01:39Z","title":"Black holes and the multiverse","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.01819","snapshot_observed_at":"2026-08-11T11:03:26.113443Z","title":"Garriga, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.113443Z"},"links":{"cited_paper":"/paper/1512.01819","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:f154262c112dc990f3a2a5a9258a20a4d6c1af3302c19071b3d381b614bd56c5","observation_id":"47c8d64c-d28c-41d3-b0e1-a25c42e6580c","resolution":{"observed_at":"2026-08-11T11:03:26.113443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.12778","last_updated":"2021-05-09T18:33:50Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-02-27T05:17:54Z","title":"Constraints on Primordial Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.12778","snapshot_observed_at":"2026-08-11T11:03:26.119603Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.119603Z"},"links":{"cited_paper":"/paper/2002.12778","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:12653221285d81a2bdb71d3c19948560f5e9d7f93e0c5d91b9becf8214b36be6","observation_id":"413573cb-3abd-437d-80dd-e8366d9d1ecf","resolution":{"observed_at":"2026-08-11T11:03:26.119603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:26.125829Z","title":"Chandrasekhar, The Maximum Mass of Ideal White Dwarfs, Astrophys","venue":null,"work_id":null,"year":1931},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.125829Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:cc24603b722d5848a3bb5642600a6f6f2e798b2150a80f872b33655dbf0b06df","observation_id":"ffc459df-69e2-4b89-a522-279729ed7b64","resolution":{"observed_at":"2026-08-11T11:03:26.125829Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.16085","last_updated":"2024-09-23T09:30:11Z","snapshot_observed_at":"2026-07-06T16:53:18.275859Z","submitted_at":"2023-11-27T18:54:18Z","title":"Analysis of the subsolar-mass black hole candidate SSM200308 from the second part of the third observing run of Advanced LIGO-Virgo","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.16085","snapshot_observed_at":"2026-08-11T11:03:26.131248Z","title":"Prunier, G","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.131248Z"},"links":{"cited_paper":"/paper/2311.16085","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:2402bb1aeca2b5b03dad135b24038f825a8864d0c65fb9f95f9346532a672e50","observation_id":"c19df0a1-c295-4920-88e4-9e54cfe88d47","resolution":{"observed_at":"2026-08-11T11:03:26.131248Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.11619","last_updated":"2023-07-27T11:44:29Z","snapshot_observed_at":"2026-08-10T20:25:30.741912Z","submitted_at":"2023-01-27T09:43:15Z","title":"Analysis of a subsolar-mass compact binary candidate from the second observing run of Advanced LIGO","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.11619","snapshot_observed_at":"2026-08-11T11:03:26.137069Z","title":"Morras et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.137069Z"},"links":{"cited_paper":"/paper/2301.11619","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:f36f9ed8b757979b819381cfa5224953e487bc8122a5e6a5d1477a0fae4e075e","observation_id":"44c2fd1c-59f8-4162-a940-d3ce7ce1dfc6","resolution":{"observed_at":"2026-08-11T11:03:26.137069Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.01477","last_updated":"2024-01-26T16:07:14Z","snapshot_observed_at":"2026-07-06T14:26:21.231440Z","submitted_at":"2022-12-02T22:53:53Z","title":"Search for subsolar-mass black hole binaries in the second part of Advanced LIGO's and Advanced Virgo's third observing run","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.01477","snapshot_observed_at":"2026-08-11T11:03:26.144613Z","title":"Abbott et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.144613Z"},"links":{"cited_paper":"/paper/2212.01477","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:4fe916fba171ed26f20fafef3a5215c37142a42f6548b724ab48f957c8e0f4fa","observation_id":"27b709bd-ce72-446d-8f1d-995f29963ae8","resolution":{"observed_at":"2026-08-11T11:03:26.144613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.11449","last_updated":"2021-05-24T17:56:57Z","snapshot_observed_at":"2026-07-06T11:12:17.954799Z","submitted_at":"2021-05-24T17:56:57Z","title":"The hunt for sub-solar primordial black holes in low mass ratio binaries is open","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.11449","snapshot_observed_at":"2026-08-11T11:03:26.150761Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.150761Z"},"links":{"cited_paper":"/paper/2105.11449","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:960fa18e6621cf291940b7df6f5a8805f5110728bdf679ee55b5bd7a12c2f8a6","observation_id":"7479f5b7-dec4-4ea6-817a-f210781ba1ad","resolution":{"observed_at":"2026-08-11T11:03:26.150761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.06481","last_updated":"2021-05-27T17:08:22Z","snapshot_observed_at":"2026-08-10T00:28:23.041440Z","submitted_at":"2020-07-13T16:29:54Z","title":"GW190425, GW190521 and GW190814: Three candidate mergers of primordial black holes from the QCD epoch","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.06481","snapshot_observed_at":"2026-08-11T11:03:26.158084Z","title":"Clesse and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.158084Z"},"links":{"cited_paper":"/paper/2007.06481","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:31c6ee15de3309d382be979f213df88c9e811546896b58ba736f52ff55888633","observation_id":"39d9f907-cdaf-4735-a806-1c9d0d51b988","resolution":{"observed_at":"2026-08-11T11:03:26.158084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.01728","last_updated":"2021-01-27T08:35:06Z","snapshot_observed_at":"2026-08-08T19:10:40.071252Z","submitted_at":"2020-09-03T15:06:39Z","title":"The GW190521 Mass Gap Event and the Primordial Black Hole Scenario","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.01728","snapshot_observed_at":"2026-08-11T11:03:26.166496Z","title":"De Luca, V","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.166496Z"},"links":{"cited_paper":"/paper/2009.01728","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:989a114d041f8ca68ce3e6283beb829e3d65b58b8b7d894dcd6d20fce64b4534","observation_id":"3c985082-0419-4213-ae21-d36b6bf5911f","resolution":{"observed_at":"2026-08-11T11:03:26.166496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.12611","last_updated":"2020-06-22T20:56:34Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-06-22T20:56:34Z","title":"GW190814: Gravitational Waves from the Coalescence of a 23 M$_\\odot$ Black Hole with a 2.6 M$_\\odot$ Compact Object","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.12611","snapshot_observed_at":"2026-08-11T11:03:26.172744Z","title":"Abbott et al","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.172744Z"},"links":{"cited_paper":"/paper/2006.12611","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:243bdc3f2d56315e5e09a6124a9742851fdfbd7d77ee71860a1914d738c08674","observation_id":"8cc4b268-de04-4b42-9b27-6fbecb462089","resolution":{"observed_at":"2026-08-11T11:03:26.172744Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:26.178733Z","title":"Abbott et al","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.178733Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:d0dc104246527dc647327727954c2d1466ba0c6bae12f1811f3cbbb906dddcad","observation_id":"8fe7fc54-9a93-48c7-ad83-de3da80ddf13","resolution":{"observed_at":"2026-08-11T11:03:26.178733Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19857","last_updated":"2023-10-30T17:54:47Z","snapshot_observed_at":"2026-07-06T16:40:43.536565Z","submitted_at":"2023-10-30T17:54:47Z","title":"Primordial black holes and their gravitational-wave signatures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.19857","snapshot_observed_at":"2026-08-11T11:03:26.199861Z","title":"Bagui et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.199861Z"},"links":{"cited_paper":"/paper/2310.19857","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:015dfe6ac642ccf652bb2d86ed819c589a61e8c23edb383492781d61a2e9ec4b","observation_id":"cfd46000-9996-4e8f-82fd-faa6af9e8954","resolution":{"observed_at":"2026-08-11T11:03:26.199861Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2005.12306","last_updated":"2020-08-26T15:14:44Z","snapshot_observed_at":"2026-07-06T09:23:09.638746Z","submitted_at":"2020-05-25T18:00:30Z","title":"Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.12306","snapshot_observed_at":"2026-08-11T11:03:26.246568Z","title":"Pi and M","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.246568Z"},"links":{"cited_paper":"/paper/2005.12306","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:3975efcd89bb58e696885d82910a6d4846734a3a1c0f39cd85c58cd89d1b940e","observation_id":"b1cdd365-8aa7-4b67-b51a-41bac5cfb372","resolution":{"observed_at":"2026-08-11T11:03:26.246568Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.00785","last_updated":"2020-01-06T09:12:01Z","snapshot_observed_at":"2026-08-10T12:47:06.112143Z","submitted_at":"2019-12-02T13:53:09Z","title":"Gauge Independence of Induced Gravitational Waves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.00785","snapshot_observed_at":"2026-08-11T11:03:26.290551Z","title":"Inomata and T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.290551Z"},"links":{"cited_paper":"/paper/1912.00785","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:47158eb0484a2861d310a9b91f1d4795eaaad6bc995beeea8af61a807f3da2cc","observation_id":"606be91c-0685-4e08-89b2-6b65a883b03d","resolution":{"observed_at":"2026-08-11T11:03:26.290551Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.08577","last_updated":"2018-06-29T02:30:22Z","snapshot_observed_at":"2026-08-08T19:38:13.343169Z","submitted_at":"2018-04-23T17:16:37Z","title":"Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.08577","snapshot_observed_at":"2026-08-11T11:03:26.338660Z","title":"Kohri and T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.338660Z"},"links":{"cited_paper":"/paper/1804.08577","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:c273149b5ef3c0b8ffac07db6ffc15bb9de51a05451d92088ef7ce4568a4800d","observation_id":"d4cc3899-b9cf-4da0-ac58-38ca954d8a38","resolution":{"observed_at":"2026-08-11T11:03:26.338660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16217","last_updated":"2023-06-28T13:51:05Z","snapshot_observed_at":"2026-08-10T12:47:28.620439Z","submitted_at":"2023-06-28T13:51:05Z","title":"The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16217","snapshot_observed_at":"2026-08-11T11:03:26.396552Z","title":"Agazie et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.396552Z"},"links":{"cited_paper":"/paper/2306.16217","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:fc17199a2141030b09eca918970c3db0beae62ea079005a6f08f62b17080b061","observation_id":"a54207fc-de07-472b-8bdd-a93f1ec697eb","resolution":{"observed_at":"2026-08-11T11:03:26.396552Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16213","last_updated":"2023-06-28T13:51:01Z","snapshot_observed_at":"2026-08-06T22:50:08.228581Z","submitted_at":"2023-06-28T13:51:01Z","title":"The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16213","snapshot_observed_at":"2026-08-11T11:03:26.418724Z","title":"Agazie et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.418724Z"},"links":{"cited_paper":"/paper/2306.16213","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:a36f81a580ffedc70bfb5071a6257c8fc620f418d8d73bf4ad4cf132318553bf","observation_id":"a744657b-bf04-4f13-ab37-1a5ede00de42","resolution":{"observed_at":"2026-08-11T11:03:26.418724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16214","last_updated":"2023-06-28T13:51:02Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-06-28T13:51:02Z","title":"The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16214","snapshot_observed_at":"2026-08-11T11:03:26.436431Z","title":"Antoniadis et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.436431Z"},"links":{"cited_paper":"/paper/2306.16214","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:8a917aa6c7dda08535a6f634c60502d8fbcd42ab719080c85de7612bf676fe91","observation_id":"caf7c4be-eb4f-4eb7-b54d-3fe513d8bfbf","resolution":{"observed_at":"2026-08-11T11:03:26.436431Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16224","last_updated":"2023-06-28T13:51:12Z","snapshot_observed_at":"2026-08-10T20:43:56.896435Z","submitted_at":"2023-06-28T13:51:12Z","title":"The second data release from the European Pulsar Timing Array I. The dataset and timing analysis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16224","snapshot_observed_at":"2026-08-11T11:03:26.468981Z","title":"Antoniadis et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.468981Z"},"links":{"cited_paper":"/paper/2306.16224","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:3d801fe53beec645a86151e6ab8b8e94f6cd7673871899740997d4adb005914b","observation_id":"c071fa1e-1eff-4285-9c00-bbfbbc892a8b","resolution":{"observed_at":"2026-08-11T11:03:26.468981Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16215","last_updated":"2023-06-28T13:51:03Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-06-28T13:51:03Z","title":"Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16215","snapshot_observed_at":"2026-08-11T11:03:26.484159Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.484159Z"},"links":{"cited_paper":"/paper/2306.16215","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:03e617c41c3d851b49303174ec0a46acf00cf4a5e087fa69c787ffafdea3fe46","observation_id":"255f623d-b749-42ae-9b07-859db4ee7851","resolution":{"observed_at":"2026-08-11T11:03:26.484159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16216","last_updated":"2023-06-28T13:51:04Z","snapshot_observed_at":"2026-08-08T13:18:07.452026Z","submitted_at":"2023-06-28T13:51:04Z","title":"Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16216","snapshot_observed_at":"2026-08-11T11:03:26.497895Z","title":"Xu et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.497895Z"},"links":{"cited_paper":"/paper/2306.16216","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:dd4c565572b97c4de883ecd23de763e8bebd085fb3d44d0d2b1c09970f8037ad","observation_id":"8b8989d2-c4e7-44a2-bbd8-29a8dd2dc988","resolution":{"observed_at":"2026-08-11T11:03:26.497895Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.03980","last_updated":"2022-01-11T14:50:51Z","snapshot_observed_at":"2026-08-11T03:02:58.819120Z","submitted_at":"2022-01-11T14:50:51Z","title":"The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.03980","snapshot_observed_at":"2026-08-11T11:03:26.509749Z","title":"Antoniadis et al","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.509749Z"},"links":{"cited_paper":"/paper/2201.03980","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:0b736470fe4191c2de4471e042f11fa8adb11f988c19b7697f6bd53e7ca9164e","observation_id":"f52cf996-d93b-49e7-8489-d386c568f684","resolution":{"observed_at":"2026-08-11T11:03:26.509749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:26.528748Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.528748Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:d81e5b360121189746a830bc084f4208bcb9623c6bb1781a3c98935c368ab9d2","observation_id":"7182f549-fc42-4a7c-8288-3df1ae6d2210","resolution":{"observed_at":"2026-08-11T11:03:26.528748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16219","last_updated":"2023-06-28T13:51:07Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-06-28T13:51:07Z","title":"The NANOGrav 15-year Data Set: Search for Signals from New Physics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16219","snapshot_observed_at":"2026-08-11T11:03:26.534353Z","title":"Afzal et al","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.534353Z"},"links":{"cited_paper":"/paper/2306.16219","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:3a2b29296f4f1ec522a156e1aa493368693866e0f65a4961f04b8dae9c4c3c55","observation_id":"895a8822-f982-4a97-9157-0a6cca7485de","resolution":{"observed_at":"2026-08-11T11:03:26.534353Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.08546","last_updated":"2023-10-09T13:07:48Z","snapshot_observed_at":"2026-07-06T16:06:59.216785Z","submitted_at":"2023-08-16T17:59:15Z","title":"What is the source of the PTA GW signal?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.08546","snapshot_observed_at":"2026-08-11T11:03:26.540869Z","title":"Ellis, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.540869Z"},"links":{"cited_paper":"/paper/2308.08546","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:651b6b67031d94a51c155c0683a246aff4a4445e2713ac84168075edde719509","observation_id":"ee80b59d-8c1c-47b6-a33c-7826db468c28","resolution":{"observed_at":"2026-08-11T11:03:26.540869Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.08268","last_updated":"2020-11-24T17:10:24Z","snapshot_observed_at":"2026-08-10T01:22:23.283346Z","submitted_at":"2020-09-17T13:17:48Z","title":"NANOGrav Hints to Primordial Black Holes as Dark Matter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.08268","snapshot_observed_at":"2026-08-11T11:03:26.547283Z","title":"De Luca, G","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.547283Z"},"links":{"cited_paper":"/paper/2009.08268","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:fdc8af539d757be4b431e531652c0f7fdbfedf661da4cc4fac56c3448a145e6b","observation_id":"9e7f325b-674d-4e02-981e-ed4b2f28fd56","resolution":{"observed_at":"2026-08-11T11:03:26.547283Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.00228","last_updated":"2023-12-22T22:09:45Z","snapshot_observed_at":"2026-08-11T18:58:32.950136Z","submitted_at":"2023-09-01T03:08:20Z","title":"Induced Gravitational Waves with Kination Era for Recent Pulsar Timing Array Signals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.00228","snapshot_observed_at":"2026-08-11T11:03:26.557813Z","title":"Harigaya, K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.557813Z"},"links":{"cited_paper":"/paper/2309.00228","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:6a026e54e10277bffd22707399463a38710f7e9d21a6e889ae71a62f0d587cc1","observation_id":"2c2ab613-8604-4869-8efa-2f389fd81a52","resolution":{"observed_at":"2026-08-11T11:03:26.557813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.06757","last_updated":"2023-08-17T09:16:43Z","snapshot_observed_at":"2026-08-08T01:00:46.320673Z","submitted_at":"2023-07-13T13:53:15Z","title":"PBHs and GWs from $\\mathbb{T}^2$-inflation and NANOGrav 15-year data","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.06757","snapshot_observed_at":"2026-08-11T11:03:26.564731Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.564731Z"},"links":{"cited_paper":"/paper/2307.06757","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:2886ca0e2bae8e524a1e7d745b6b2fa972f71c9048a94c824dfed9fdb95940cd","observation_id":"2fa66e5d-3127-41c6-a216-5992f417f3d1","resolution":{"observed_at":"2026-08-11T11:03:26.564731Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.14688","last_updated":"2024-05-31T08:59:15Z","snapshot_observed_at":"2026-07-06T16:11:19.414601Z","submitted_at":"2023-08-28T16:23:43Z","title":"Exploring the NANOGrav Signal and Planet-mass Primordial Black Holes through Higgs Inflation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.14688","snapshot_observed_at":"2026-08-11T11:03:26.587928Z","title":"Yi, Z.-Q","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.587928Z"},"links":{"cited_paper":"/paper/2308.14688","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:cbb7916c0f9b91c2a5a2943f6884439ddb9e4a12801dc3e176b1ffa65b5e0e8e","observation_id":"45fd54a9-0b6e-4bf3-935b-0d428eadedb8","resolution":{"observed_at":"2026-08-11T11:03:26.587928Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.08552","last_updated":"2023-07-17T15:14:47Z","snapshot_observed_at":"2026-08-04T22:30:11.364664Z","submitted_at":"2023-07-17T15:14:47Z","title":"Scalar-induced gravitational wave interpretation of PTA data: the role of scalar fluctuation propagation speed","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.08552","snapshot_observed_at":"2026-08-11T11:03:26.610022Z","title":"Balaji, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.610022Z"},"links":{"cited_paper":"/paper/2307.08552","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:762f678df05c35a1ee667ba896c0b3bb5bb2b18b21a218dd5802bbd95911cd39","observation_id":"67508219-e0e5-470e-a145-a6af0c85e302","resolution":{"observed_at":"2026-08-11T11:03:26.610022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.02399","last_updated":"2024-04-26T16:45:09Z","snapshot_observed_at":"2026-08-10T02:30:50.445302Z","submitted_at":"2023-07-05T16:14:54Z","title":"Cosmological Background Interpretation of Pulsar Timing Array Data","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.02399","snapshot_observed_at":"2026-08-11T11:03:26.658772Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.658772Z"},"links":{"cited_paper":"/paper/2307.02399","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:59d92478250229fc6c563eede6741325016ab7cd6ef1872a47762245547842b1","observation_id":"238afff2-f5a2-4731-befa-0ef77be21c07","resolution":{"observed_at":"2026-08-11T11:03:26.658772Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.20089","last_updated":"2026-06-18T08:42:33Z","snapshot_observed_at":"2026-07-06T18:38:38.104034Z","submitted_at":"2024-06-28T17:56:33Z","title":"Curbing PBHs with PTAs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.20089","snapshot_observed_at":"2026-08-11T11:03:26.730916Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.730916Z"},"links":{"cited_paper":"/paper/2406.20089","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:eff475a1584cf562c6c45084a9b11f905d4c17c3f405264e44cc2dd6d2f77bb2","observation_id":"97244f4a-79fc-4da8-87a1-a691ba37e5b0","resolution":{"observed_at":"2026-08-11T11:03:26.730916Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.07488","last_updated":"2021-12-07T09:42:02Z","snapshot_observed_at":"2026-08-10T18:50:11.345895Z","submitted_at":"2021-10-14T16:00:21Z","title":"Testing Primordial Black Holes with multi-band observations of the stochastic gravitational wave background","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.07488","snapshot_observed_at":"2026-08-11T11:03:26.742556Z","title":"Braglia, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.742556Z"},"links":{"cited_paper":"/paper/2110.07488","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:e1baef78f200d1a3bb27e24537d0e9e0038bae26792f3bb38e93736acd009a52","observation_id":"db7bb1fe-fa6d-43de-9162-4288f4cbe9db","resolution":{"observed_at":"2026-08-11T11:03:26.742556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.13382","last_updated":"2023-06-27T17:54:07Z","snapshot_observed_at":"2026-07-06T15:30:53.706005Z","submitted_at":"2023-05-22T18:00:25Z","title":"Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.13382","snapshot_observed_at":"2026-08-11T11:03:26.748804Z","title":"Ferrante, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.748804Z"},"links":{"cited_paper":"/paper/2305.13382","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:be3ec984cde076ddaec626e8a7f7552df6f1ca3fc0f3c618456bd0d544157941","observation_id":"99594394-ddcc-48c0-bd40-ef7aad6a5de5","resolution":{"observed_at":"2026-08-11T11:03:26.748804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.14856","last_updated":"2023-11-01T16:02:34Z","snapshot_observed_at":"2026-08-10T14:05:44.822901Z","submitted_at":"2023-06-26T17:09:28Z","title":"Primordial gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.14856","snapshot_observed_at":"2026-08-11T11:03:26.755000Z","title":"Madge, E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.755000Z"},"links":{"cited_paper":"/paper/2306.14856","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:ee2d63b04ea77198b9e020d009daf5aae6f87548fbb1909a0b585599b2fb128c","observation_id":"7b894649-9620-4f6e-a4a5-6a9fff88ac21","resolution":{"observed_at":"2026-08-11T11:03:26.755000Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.17834","last_updated":"2024-02-27T03:49:39Z","snapshot_observed_at":"2026-08-10T13:47:54.755403Z","submitted_at":"2023-06-30T17:54:19Z","title":"The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.17834","snapshot_observed_at":"2026-08-11T11:03:26.840710Z","title":"Inomata, K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.840710Z"},"links":{"cited_paper":"/paper/2306.17834","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:5b3a26962d554c339de51a9f9a40230ca6e9abd34eab355b6c11f1f5b8f3df60","observation_id":"48823044-cc8d-4801-a677-812c43d272d9","resolution":{"observed_at":"2026-08-11T11:03:26.840710Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.07901","last_updated":"2023-09-01T15:38:19Z","snapshot_observed_at":"2026-08-11T18:09:23.078520Z","submitted_at":"2023-02-15T19:00:04Z","title":"Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.07901","snapshot_observed_at":"2026-08-11T11:03:26.900169Z","title":"Dandoy, V","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.900169Z"},"links":{"cited_paper":"/paper/2302.07901","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:9edd0e71ee219695e31d3de716839f13ab44af46ccdd5c5cb4071374516659a4","observation_id":"ed319e60-dceb-45a5-a5cb-0e363f57a78b","resolution":{"observed_at":"2026-08-11T11:03:26.900169Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.17836","last_updated":"2025-09-04T11:52:35Z","snapshot_observed_at":"2026-07-06T15:48:55.605324Z","submitted_at":"2023-06-30T17:56:10Z","title":"Signals of merging supermassive primordial black holes in pulsar timing arrays","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.17836","snapshot_observed_at":"2026-08-11T11:03:26.908759Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.908759Z"},"links":{"cited_paper":"/paper/2306.17836","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:d06edb5b7058fc592707da0d44c7bbcb27f92e578b415495e2c59c330ea24e59","observation_id":"5a39c96a-29a2-48a6-9003-5f74f1ae3555","resolution":{"observed_at":"2026-08-11T11:03:26.908759Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.01457","last_updated":"2024-05-02T03:41:09Z","snapshot_observed_at":"2026-08-04T06:16:28.255171Z","submitted_at":"2023-07-04T03:32:39Z","title":"Scrutinizing the Primordial Black Holes Interpretation of PTA Gravitational Waves and JWST Early Galaxies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.01457","snapshot_observed_at":"2026-08-11T11:03:26.915159Z","title":"Gouttenoire, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.915159Z"},"links":{"cited_paper":"/paper/2307.01457","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:ee47b902d4ea2251da30e6594d7b66e513cf9dd1f291dd31fb55628ca7fa0f97","observation_id":"50d55a90-17ff-4705-85e2-6bebae12e69c","resolution":{"observed_at":"2026-08-11T11:03:26.915159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1801.06138","last_updated":"2018-09-21T08:56:57Z","snapshot_observed_at":"2026-08-09T07:28:48.978742Z","submitted_at":"2018-01-18T17:22:55Z","title":"Primordial black holes with an accurate QCD equation of state","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.06138","snapshot_observed_at":"2026-08-11T11:03:26.969022Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:26.969022Z"},"links":{"cited_paper":"/paper/1801.06138","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:a60c05a13e3698ecd052ae3d2f4af99b5dbbb2e2b9f47ff9bddd370fb820b975","observation_id":"9df76cf2-93a2-4989-9c97-df768fc22493","resolution":{"observed_at":"2026-08-11T11:03:26.969022Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.08978","last_updated":"2019-06-21T06:41:24Z","snapshot_observed_at":"2026-08-11T16:32:41.140594Z","submitted_at":"2019-06-21T06:41:24Z","title":"Primordial Black Holes from Broad Spectra: Abundance and Clustering","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.08978","snapshot_observed_at":"2026-08-11T11:03:27.006869Z","title":"Moradinezhad Dizgah, G","venue":null,"work_id":null,"year":1906},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.006869Z"},"links":{"cited_paper":"/paper/1906.08978","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:4f999c5d1c3148493a084f6f3afc9be6ace273f0184be61dfdb2ed2ded69b360","observation_id":"4ae00252-48c0-49e8-8708-328bbf199c6a","resolution":{"observed_at":"2026-08-11T11:03:27.006869Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.03665","last_updated":"2016-06-09T20:04:23Z","snapshot_observed_at":"2026-08-05T15:25:50.287509Z","submitted_at":"2016-05-12T03:19:31Z","title":"Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.03665","snapshot_observed_at":"2026-08-11T11:03:27.038482Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.038482Z"},"links":{"cited_paper":"/paper/1605.03665","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:9b8e3dc50e3c7f81f9916a1ea497dea0654bb9e35f2a7ed85bccd859dabcd5d2","observation_id":"0f3fb7c6-be7e-466e-8e60-106690c4b87e","resolution":{"observed_at":"2026-08-11T11:03:27.038482Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.03903","last_updated":"2024-02-04T22:43:10Z","snapshot_observed_at":"2026-08-07T16:27:19.334446Z","submitted_at":"2023-06-06T17:58:54Z","title":"Observational Evidence for Primordial Black Holes: A Positivist Perspective","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.03903","snapshot_observed_at":"2026-08-11T11:03:27.045705Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.045705Z"},"links":{"cited_paper":"/paper/2306.03903","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:0adc25e5adab607effc06ad59e33ca7a73b03a2afcaa314a5d1889a94a51e98d","observation_id":"7c80be7b-d84f-4cdf-89d4-422bea59369e","resolution":{"observed_at":"2026-08-11T11:03:27.045705Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.07487","last_updated":"2023-01-16T16:36:59Z","snapshot_observed_at":"2026-08-10T08:03:26.433558Z","submitted_at":"2021-10-14T15:59:22Z","title":"A boosted gravitational-wave background for primordial black holes with broad mass distributions and thermal features","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.07487","snapshot_observed_at":"2026-08-11T11:03:27.053728Z","title":"Bagui and S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.053728Z"},"links":{"cited_paper":"/paper/2110.07487","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:e23b5a9c629647280aa21062fc03ed8791336300eee282819f7699d2edbdded6","observation_id":"9d955f69-69a9-45ce-9507-d77a79087289","resolution":{"observed_at":"2026-08-11T11:03:27.053728Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1203.2681","last_updated":"2012-03-13T00:38:22Z","snapshot_observed_at":"2026-07-06T02:44:27.243716Z","submitted_at":"2012-03-13T00:38:22Z","title":"Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1203.2681","snapshot_observed_at":"2026-08-11T11:03:27.061074Z","title":"Chluba, A","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.061074Z"},"links":{"cited_paper":"/paper/1203.2681","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:b7a3b392662ef00a7e4b4ab500627d0e1652a27406161d89f532a1c0e85d3857","observation_id":"0704c22f-45eb-4bea-bc70-9e53839f8a0e","resolution":{"observed_at":"2026-08-11T11:03:27.061074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.04534","last_updated":"2019-09-10T14:47:53Z","snapshot_observed_at":"2026-08-11T03:02:37.352414Z","submitted_at":"2019-09-10T14:47:53Z","title":"The International Pulsar Timing Array: Second data release","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.04534","snapshot_observed_at":"2026-08-11T11:03:27.103351Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.103351Z"},"links":{"cited_paper":"/paper/1909.04534","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:2b99427b5b44effe131cdca1017049407d6217143be0793c46c742037cb79c9a","observation_id":"06d13848-fb5a-4158-b11f-41cf5b98f190","resolution":{"observed_at":"2026-08-11T11:03:27.103351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:27.177103Z","title":"Bringmann, P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.177103Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:aee5f6f926689e0ced6c24ea1415e14cc18b7f053950653cb1e842200cd08486","observation_id":"8d11d81b-6802-43d9-a283-b8bcb5fb4003","resolution":{"observed_at":"2026-08-11T11:03:27.177103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.01480","last_updated":"2018-05-23T11:58:22Z","snapshot_observed_at":"2026-07-06T05:49:51.875694Z","submitted_at":"2017-07-05T17:28:01Z","title":"Gravitational Waves from Primordial Black Hole Mergers","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.01480","snapshot_observed_at":"2026-08-11T11:03:27.281115Z","title":"Raidal, V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.281115Z"},"links":{"cited_paper":"/paper/1707.01480","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:58ddf1192329133d7ab7ecbcf4a0ef4285cec7889c29e1d17a7504033e1b28fa","observation_id":"9112f994-8d0a-4019-a30d-9826a2820fc6","resolution":{"observed_at":"2026-08-11T11:03:27.281115Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.02084","last_updated":"2018-10-17T10:24:48Z","snapshot_observed_at":"2026-07-06T06:48:36.957224Z","submitted_at":"2018-07-05T16:45:56Z","title":"On the merger rate of primordial black holes: effects of nearest neighbours distribution and clustering","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.02084","snapshot_observed_at":"2026-08-11T11:03:27.339366Z","title":"Ballesteros, P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.339366Z"},"links":{"cited_paper":"/paper/1807.02084","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:c2ffc5bc17a91bd8a595400a9e832070a430d4a7f20c6b9bbb6b623045bc6147","observation_id":"1f1bb612-6ee1-4780-9186-bb567b902515","resolution":{"observed_at":"2026-08-11T11:03:27.339366Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1905.01230","last_updated":"2019-12-17T13:15:09Z","snapshot_observed_at":"2026-07-06T07:50:12.942936Z","submitted_at":"2019-05-03T15:38:22Z","title":"The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1905.01230","snapshot_observed_at":"2026-08-11T11:03:27.359147Z","title":"Young, The primordial black hole formation criterion re-examined: Parametrisation, timing and the choice of window function, Int","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.359147Z"},"links":{"cited_paper":"/paper/1905.01230","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:83b8d2f0951119f5b5a97e7c8a1426101b4c58e1136dba855d25b15daa54beca","observation_id":"a730a108-cca7-4cf4-8f2e-79e7badc1a32","resolution":{"observed_at":"2026-08-11T11:03:27.359147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1906.08217","last_updated":"2020-12-15T18:48:36Z","snapshot_observed_at":"2026-07-06T08:01:27.238962Z","submitted_at":"2019-06-19T16:49:19Z","title":"Cosmic Conundra Explained by Thermal History and Primordial Black Holes","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.08217","snapshot_observed_at":"2026-08-11T11:03:27.365184Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.365184Z"},"links":{"cited_paper":"/paper/1906.08217","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:cded26361ef7b89d6596281c516cda4ebf271d4049ac819927bcb4d6bc3f5273","observation_id":"efc4ea2c-bbe8-4d83-b5df-84f3f872b9ec","resolution":{"observed_at":"2026-08-11T11:03:27.365184Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:27.371796Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.371796Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:c00a6c83813c11d1c5981b6326edaeb6bed4069be89d0bfcb0e719fbe103d225","observation_id":"2933c0f6-d3bd-4f21-a670-8fd6a4f5309a","resolution":{"observed_at":"2026-08-11T11:03:27.371796Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:27.378663Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.378663Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:fcc4e37ac1eb99131561829d67459b16aa38254b78f6b9e2682b9e081c8bbd78","observation_id":"2d883b3c-42c3-4f41-8f2c-0a4b0d94eeac","resolution":{"observed_at":"2026-08-11T11:03:27.378663Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.03289","last_updated":"2021-02-08T11:53:51Z","snapshot_observed_at":"2026-08-11T15:30:35.321178Z","submitted_at":"2020-08-07T17:46:48Z","title":"The power spectrum on small scales: Robust constraints and comparing PBH methodologies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.03289","snapshot_observed_at":"2026-08-11T11:03:27.383924Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.383924Z"},"links":{"cited_paper":"/paper/2008.03289","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:f92925ac3877fa8a80931b2a7c002cc1b39a99203e9c4f2b9a662e30c90df3d9","observation_id":"4fdd7161-da80-47af-be4e-04709336a539","resolution":{"observed_at":"2026-08-11T11:03:27.383924Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:27.483672Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.483672Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:90cbbe5fb600ffd58fc92a51e159872652d351bc190300b2280a5440cbc554bb","observation_id":"8a467882-3bed-425f-9691-f5ed86380583","resolution":{"observed_at":"2026-08-11T11:03:27.483672Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9709072","last_updated":"1998-05-13T16:15:33Z","snapshot_observed_at":"2026-08-07T13:56:57.021422Z","submitted_at":"1997-09-09T16:39:35Z","title":"Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9709072","snapshot_observed_at":"2026-08-11T11:03:27.577300Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.577300Z"},"links":{"cited_paper":"/paper/astro-ph/9709072","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:e0f9414e3b7b2abe594a57d1912f3cac0f756e03c9dbc9ecd72091e286ecda66","observation_id":"19b8302b-79fd-4c01-9dbc-8d18e0ce615d","resolution":{"observed_at":"2026-08-11T11:03:27.577300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9901292","last_updated":"1999-01-21T12:37:08Z","snapshot_observed_at":"2026-08-05T16:19:29.453859Z","submitted_at":"1999-01-21T12:37:08Z","title":"Dynamics of Primordial Black Hole Formation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9901292","snapshot_observed_at":"2026-08-11T11:03:27.618021Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.618021Z"},"links":{"cited_paper":"/paper/astro-ph/9901292","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:31d668226634f9822a6f641477d75b91f31ddcaca4c0dce6aaa0c6277a111be1","observation_id":"78f81ea6-69c8-4bda-8a18-bf9d361a3586","resolution":{"observed_at":"2026-08-11T11:03:27.618021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.00984","last_updated":"2019-11-14T11:42:21Z","snapshot_observed_at":"2026-08-07T14:15:04.849634Z","submitted_at":"2019-04-01T17:46:05Z","title":"Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.00984","snapshot_observed_at":"2026-08-11T11:03:27.647228Z","title":"Young, I","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.647228Z"},"links":{"cited_paper":"/paper/1904.00984","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:1947a55717f7115015530c2f361701a6d13164d06d4e04fa7db753e6a639a7a3","observation_id":"9527375d-4b48-43d0-8c76-0cf64342ba7b","resolution":{"observed_at":"2026-08-11T11:03:27.647228Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.05959","last_updated":"2023-03-22T10:55:26Z","snapshot_observed_at":"2026-08-11T01:40:46.266517Z","submitted_at":"2022-09-13T12:49:07Z","title":"From inflation to black hole mergers and back again: Gravitational-wave data-driven constraints on inflationary scenarios with a first-principle model of primordial black holes across the QCD epoch","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.05959","snapshot_observed_at":"2026-08-11T11:03:27.667402Z","title":"Franciolini, I","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.667402Z"},"links":{"cited_paper":"/paper/2209.05959","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:a78b675378d9adceb984c6d7abbc22a425db3529835444e25637f8000d5d6d4b","observation_id":"a8170f64-14f7-4dfe-8d41-d0f64281b594","resolution":{"observed_at":"2026-08-11T11:03:27.667402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.13311","last_updated":"2020-01-27T10:25:09Z","snapshot_observed_at":"2026-08-05T20:40:59.944641Z","submitted_at":"2019-07-31T05:21:22Z","title":"A universal threshold for primordial black hole formation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.13311","snapshot_observed_at":"2026-08-11T11:03:27.674502Z","title":"Escriv` a, C","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.674502Z"},"links":{"cited_paper":"/paper/1907.13311","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:1c8457cc7f02d57eaa7c6af54a439ff2fc2dbc3d76bb6236df8a78c20a666767","observation_id":"e6a049d1-03cd-4f36-9f70-311181f3611d","resolution":{"observed_at":"2026-08-11T11:03:27.674502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1809.02127","last_updated":"2020-01-03T18:49:46Z","snapshot_observed_at":"2026-08-07T11:41:20.818937Z","submitted_at":"2018-09-06T17:58:21Z","title":"Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.02127","snapshot_observed_at":"2026-08-11T11:03:27.680851Z","title":"Musco, Threshold for primordial black holes: Depen- dence on the shape of the cosmological perturbations, Phys","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.680851Z"},"links":{"cited_paper":"/paper/1809.02127","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:129e545b1e9c6e145c1f3ace476d72e3ba7bc34af92f52154ac4567e02281ca4","observation_id":"1164e1d9-27c1-4c43-b60a-7622b201ba51","resolution":{"observed_at":"2026-08-11T11:03:27.680851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.03014","last_updated":"2021-03-31T17:16:17Z","snapshot_observed_at":"2026-08-07T05:01:15.062763Z","submitted_at":"2020-11-05T18:18:19Z","title":"The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.03014","snapshot_observed_at":"2026-08-11T11:03:27.687014Z","title":"Musco, V","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.687014Z"},"links":{"cited_paper":"/paper/2011.03014","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:69c8245a859e2c64ea0da2dc53548536e5f1d8b5a572603b7f1b36ddfe24211d","observation_id":"ee96fbcf-d22f-4c56-968c-12b4733c8838","resolution":{"observed_at":"2026-08-11T11:03:27.687014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.06196","last_updated":"2022-11-18T18:02:58Z","snapshot_observed_at":"2026-08-05T01:34:12.233484Z","submitted_at":"2022-09-13T17:51:24Z","title":"Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.06196","snapshot_observed_at":"2026-08-11T11:03:27.693163Z","title":"Escriv` a, E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.693163Z"},"links":{"cited_paper":"/paper/2209.06196","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:ebf47af9734fdd1ea00923b389377a9b296a8161c49e46db657d364a2766db5d","observation_id":"17c0e2f9-a544-4d99-823d-585cd1b48301","resolution":{"observed_at":"2026-08-11T11:03:27.693163Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.07832","last_updated":"2021-03-26T18:48:02Z","snapshot_observed_at":"2026-08-10T13:47:49.233690Z","submitted_at":"2020-09-16T17:47:37Z","title":"Did NANOGrav see a signal from primordial black hole formation?","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.07832","snapshot_observed_at":"2026-08-11T11:03:27.699037Z","title":"Vaskonen and H","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.699037Z"},"links":{"cited_paper":"/paper/2009.07832","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:c9110f72b3937b24f819ecbf2a3e5a0f4425547f89c28128ad33f7a351f0ee74","observation_id":"39463385-d2f0-43cd-915e-d39167a0ab36","resolution":{"observed_at":"2026-08-11T11:03:27.699037Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.01398","last_updated":"2021-11-05T08:11:41Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-09-03T09:44:21Z","title":"Scalar induced gravitational waves review","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.01398","snapshot_observed_at":"2026-08-11T11:03:27.756405Z","title":"Dom` enech, Scalar Induced Gravitational Waves Re- view, Universe 7, 398 (2021), arXiv:2109.01398 [gr-qc]","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.756405Z"},"links":{"cited_paper":"/paper/2109.01398","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:0c780f4b6e376afb75773cdadcd820632b8aee55457eb81813991963306dc398","observation_id":"3051a149-7b9e-4d02-a8f4-79f030815258","resolution":{"observed_at":"2026-08-11T11:03:27.756405Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0612013","last_updated":"2006-12-01T17:54:02Z","snapshot_observed_at":"2026-07-07T03:23:24.597961Z","submitted_at":"2006-12-01T17:54:02Z","title":"The cosmological gravitational wave background from primordial density perturbations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0612013","snapshot_observed_at":"2026-08-11T11:03:27.850979Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.850979Z"},"links":{"cited_paper":"/paper/gr-qc/0612013","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:40161b563f2fb13e89b5749f83f54f09e3f7095e42ac65174b5c57e94646784d","observation_id":"ae09dbc2-1e99-42da-8276-f70b70720e7f","resolution":{"observed_at":"2026-08-11T11:03:27.850979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.81.023517","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:29.532004Z","title":"Bugaev and P","venue":null,"work_id":"5b7c5c96-d707-4ecb-97a7-b64a0f0564e4","year":2010},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.926835Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:cfe1dc631db8fd891d367775bb7a57c8cca875682daa188ebd826ca9efa84bdf","observation_id":"890d3a51-db6a-4f6f-9a61-019236f4e518","resolution":{"observed_at":"2026-08-11T11:03:29.538795Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1203.4663","last_updated":"2012-09-26T06:14:59Z","snapshot_observed_at":"2026-08-05T07:47:18.786340Z","submitted_at":"2012-03-21T07:25:11Z","title":"Observable Spectra of Induced Gravitational Waves from Inflation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1203.4663","snapshot_observed_at":"2026-08-11T11:03:27.951118Z","title":"Alabidi, K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.951118Z"},"links":{"cited_paper":"/paper/1203.4663","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:8654ebfe3e7a679b194376ed749f797598d79577882d964ef1a311d918e90231","observation_id":"042682c9-7e3b-48d7-b95e-0bcebab7f541","resolution":{"observed_at":"2026-08-11T11:03:27.951118Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0703290","last_updated":"2007-03-30T19:41:36Z","snapshot_observed_at":"2026-08-04T13:20:12.471676Z","submitted_at":"2007-03-30T19:41:36Z","title":"Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0703290","snapshot_observed_at":"2026-08-11T11:03:27.957440Z","title":"Baumann, P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.957440Z"},"links":{"cited_paper":"/paper/hep-th/0703290","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:d79656ecf51bbb9020f0f142c380cc59257acc99ffb175a67e2790d16b75455a","observation_id":"2e1270db-83c8-4c8b-80e3-d6df92f7a03c","resolution":{"observed_at":"2026-08-11T11:03:27.957440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.18965","last_updated":"2024-03-08T15:07:17Z","snapshot_observed_at":"2026-08-10T23:59:29.543214Z","submitted_at":"2024-02-29T09:08:13Z","title":"Induced Gravitational Wave interpretation of PTA data: a complete study for general equation of state","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.18965","snapshot_observed_at":"2026-08-11T11:03:27.964454Z","title":"Dom` enech, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.964454Z"},"links":{"cited_paper":"/paper/2402.18965","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:5e6f2335d767bbe342c5558c8248163d3e36f7d6a5384ece85c4210c9ed1c84d","observation_id":"95a32653-c396-47ea-8049-a9db8b3a15f6","resolution":{"observed_at":"2026-08-11T11:03:27.964454Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.17149","last_updated":"2023-11-14T21:32:00Z","snapshot_observed_at":"2026-07-06T15:48:29.049336Z","submitted_at":"2023-06-29T17:51:16Z","title":"The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.17149","snapshot_observed_at":"2026-08-11T11:03:27.971096Z","title":"Franciolini, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.971096Z"},"links":{"cited_paper":"/paper/2306.17149","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:5e2fe8b39a07c7cb05f37a8e7e026b1bf592040355db0a134aa6fecf1ffb015c","observation_id":"cb2192dd-a35c-41d3-a808-6e5c7036b4c0","resolution":{"observed_at":"2026-08-11T11:03:27.971096Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.01102","last_updated":"2024-01-18T09:28:31Z","snapshot_observed_at":"2026-08-10T12:11:39.223104Z","submitted_at":"2023-07-03T15:27:23Z","title":"Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.01102","snapshot_observed_at":"2026-08-11T11:03:27.978034Z","title":"Liu, Z.-C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.978034Z"},"links":{"cited_paper":"/paper/2307.01102","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:a319a64fbc887eac168840fcc06b96d823ab6296b778965be673082cf1526550","observation_id":"64396a73-7d32-47fb-ba67-f230f57ab96b","resolution":{"observed_at":"2026-08-11T11:03:27.978034Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.00572","last_updated":"2023-09-27T15:11:07Z","snapshot_observed_at":"2026-08-10T02:55:27.793320Z","submitted_at":"2023-07-02T13:52:23Z","title":"Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\\mathrm{NL}}$ Considered","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.00572","snapshot_observed_at":"2026-08-11T11:03:27.985355Z","title":"Wang, Z.-C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.985355Z"},"links":{"cited_paper":"/paper/2307.00572","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:d41ab5216d2a76af4bdf9f758037921232d115827806365b2027351d428f16d0","observation_id":"da073ee0-f51b-42fd-a84e-6b444525b385","resolution":{"observed_at":"2026-08-11T11:03:27.985355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.07155","last_updated":"2024-02-18T01:26:50Z","snapshot_observed_at":"2026-08-05T05:08:38.752820Z","submitted_at":"2023-08-14T14:09:12Z","title":"Full analysis of the scalar-induced gravitational waves for the curvature perturbation with local-type non-Gaussianities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.07155","snapshot_observed_at":"2026-08-11T11:03:27.992218Z","title":"Yuan, D.-S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.992218Z"},"links":{"cited_paper":"/paper/2308.07155","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:8d0cf9fb10e4fcb7e454151e60071928210e66772e061eb7acad7b34221133c4","observation_id":"ace2cd02-a28d-4051-8731-eb8c183faffd","resolution":{"observed_at":"2026-08-11T11:03:27.992218Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.07732","last_updated":"2019-05-23T16:09:36Z","snapshot_observed_at":"2026-07-06T06:34:33.774205Z","submitted_at":"2018-04-20T17:13:45Z","title":"A Cosmological Signature of the SM Higgs Instability: Gravitational Waves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.07732","snapshot_observed_at":"2026-08-11T11:03:27.997789Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:27.997789Z"},"links":{"cited_paper":"/paper/1804.07732","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:d523795be211ff0d7a84c26218733e9850a04b2c83895153b8ecc342079d6813","observation_id":"ff51acec-1389-439b-8af7-aa473a3f04ce","resolution":{"observed_at":"2026-08-11T11:03:27.997789Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9708060","last_updated":"1997-08-07T03:09:36Z","snapshot_observed_at":"2026-07-07T01:18:02.122501Z","submitted_at":"1997-08-07T03:09:36Z","title":"Gravitational Waves from Coalescing Black Hole MACHO Binaries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9708060","snapshot_observed_at":"2026-08-11T11:03:28.058380Z","title":"Nakamura, M","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:28.058380Z"},"links":{"cited_paper":"/paper/astro-ph/9708060","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:20ac0dbe7d8f9b0f0d2d6472090ae2ed420a85e8f1c009312c14de5299a4ce81","observation_id":"e3c88b9e-0462-4f03-949a-506fba853cf5","resolution":{"observed_at":"2026-08-11T11:03:28.058380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9807018","last_updated":"1998-07-02T08:28:10Z","snapshot_observed_at":"2026-07-07T01:21:25.090997Z","submitted_at":"1998-07-02T08:28:10Z","title":"Black Hole Binary Formation in the Expanding Universe --- Three Body Problem Approximation ---","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9807018","snapshot_observed_at":"2026-08-11T11:03:28.129401Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:28.129401Z"},"links":{"cited_paper":"/paper/astro-ph/9807018","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:53353a3650b41816e70d0d51ddf37db07242c4355766ed1c03e8bb6e4a1897c0","observation_id":"cf859fc4-4a5e-46e2-b319-6a79f878602b","resolution":{"observed_at":"2026-08-11T11:03:28.129401Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.01930","last_updated":"2019-02-27T19:08:06Z","snapshot_observed_at":"2026-08-06T23:13:32.988628Z","submitted_at":"2018-12-05T11:51:33Z","title":"Formation and Evolution of Primordial Black Hole Binaries in the Early Universe","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.01930","snapshot_observed_at":"2026-08-11T11:03:28.207688Z","title":"Raidal, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:28.207688Z"},"links":{"cited_paper":"/paper/1812.01930","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:a7fdd43a031b37dada87aebec9948552bde6ee0e4bf45e1e3934d6b7fd70b83b","observation_id":"d79753a8-32f8-4251-ba36-7d3bd3dd7348","resolution":{"observed_at":"2026-08-11T11:03:28.207688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.09752","last_updated":"2020-02-28T12:04:08Z","snapshot_observed_at":"2026-08-07T09:28:05.357422Z","submitted_at":"2019-08-26T15:47:46Z","title":"Lower bound on the primordial black hole merger rate","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.09752","snapshot_observed_at":"2026-08-11T11:03:28.249130Z","title":"Vaskonen and H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:28.249130Z"},"links":{"cited_paper":"/paper/1908.09752","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:98cdaf6f679140c473a58b898f159215bfa8c4a48987d2ad9c8483e576a5acaf","observation_id":"d3625578-b559-444f-8dda-df91604f4e0f","resolution":{"observed_at":"2026-08-11T11:03:28.249130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.06533","last_updated":"2019-10-24T15:13:32Z","snapshot_observed_at":"2026-07-06T08:07:47.943239Z","submitted_at":"2019-07-15T14:59:59Z","title":"Small-scale structure of primordial black hole dark matter and its implications for accretion","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.06533","snapshot_observed_at":"2026-08-11T11:03:28.256287Z","title":"H¨ utsi, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:28.256287Z"},"links":{"cited_paper":"/paper/1907.06533","citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:76e09ae8f849e5da5f30029be76245817e1b8b48fd0f26f5df7cc00d62a9291c","observation_id":"c76371d7-c6f2-44ce-b838-ba1a664987de","resolution":{"observed_at":"2026-08-11T11:03:28.256287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T11:03:28.267800Z","title":"Meszaros, Primeval black holes and galaxy formation, Astron","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-11T11:03:28.267800Z"},"links":{"citing_paper":"/paper/2412.15989"},"observation_digest":"sha256:aa49ad98bc9b7acdfc7157f65bfeccecd954d23dc3e8b0071639bd7a20f82eed","observation_id":"9f9f50ba-eb72-4403-b85f-f5295aa97ccb","resolution":{"observed_at":"2026-08-11T11:03:28.267800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.15989","last_updated":"2024-12-20T15:36:22Z","latest_version":1,"primary_category":"astro-ph.CO","snapshot_observed_at":"2026-08-11T15:30:44.198917Z","submitted_at":"2024-12-20T15:36:22Z","title":"Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":99,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":155},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 100 of 155 outbound references and 2 inbound Pith citation observations for arXiv:2412.15989."}