{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6PO2FCGRUJ2M5YAHWKOZZ5FIMI","short_pith_number":"pith:6PO2FCGR","canonical_record":{"source":{"id":"2507.23161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2025-07-30T23:47:53Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"9cea12789e80e265a027d471937ea67a89e2fa9955cce49e67d8cedd46897298","abstract_canon_sha256":"af061a8de1b99181f4bc8f808ed6d46ca8f19e6eeb00303baf1f35cbb1b0a0c9"},"schema_version":"1.0"},"canonical_sha256":"f3dda288d1a274cee007b29d9cf4a8620168260e7b760ef5c6106a97be1f799d","source":{"kind":"arxiv","id":"2507.23161","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.23161","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"2507.23161v1","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.23161","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"6PO2FCGRUJ2M","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"pith_short_16","alias_value":"6PO2FCGRUJ2M5YAH","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"pith_short_8","alias_value":"6PO2FCGR","created_at":"2026-07-05T11:46:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6PO2FCGRUJ2M5YAHWKOZZ5FIMI","target":"record","payload":{"canonical_record":{"source":{"id":"2507.23161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2025-07-30T23:47:53Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"9cea12789e80e265a027d471937ea67a89e2fa9955cce49e67d8cedd46897298","abstract_canon_sha256":"af061a8de1b99181f4bc8f808ed6d46ca8f19e6eeb00303baf1f35cbb1b0a0c9"},"schema_version":"1.0"},"canonical_sha256":"f3dda288d1a274cee007b29d9cf4a8620168260e7b760ef5c6106a97be1f799d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:46:06.716698Z","signature_b64":"Kfw5Sbv6Ej6b8TUYPNsmKppJUl2h+GOReWloHIq6Xesm6df0qfLEGvB8SsbniEcu+lZnozvnh54oGsC/IgbnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3dda288d1a274cee007b29d9cf4a8620168260e7b760ef5c6106a97be1f799d","last_reissued_at":"2026-07-05T11:46:06.716168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:46:06.716168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.23161","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:46:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BVWLe+eF1HRiQAJwJ2kHTNToxk0lw7LD5ytAXLWmDTc85e9sA3LP+A8hpujChBcvIFnuf24Hnbm/EM45p/6IBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:27:18.434176Z"},"content_sha256":"182eff466ec432fca07255eb65c81dc5814f9d4a29103da2a83fdd42e128ff36","schema_version":"1.0","event_id":"sha256:182eff466ec432fca07255eb65c81dc5814f9d4a29103da2a83fdd42e128ff36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6PO2FCGRUJ2M5YAHWKOZZ5FIMI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mass Determination of Supermassive Black Holes Governing Evolution of Radio Emitters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.HE","authors_text":"Kimitake Hayasaki, Ryo Yamazaki","submitted_at":"2025-07-30T23:47:53Z","abstract_excerpt":"Tidal disruption events (TDEs) involving supermassive black holes (SMBHs) often exhibit radio emission, yet its physical origin remains uncertain, especially in non-jetted cases. In this Letter, we formulate a general dynamical framework for a radio-emitting shell driven by disk winds and expanding through a power-law ambient medium under the influence of SMBH gravity. We derive and classify power-law-in-time solutions to the governing equations in the adiabatic regime. In particular, a universal $t^{2/3}$ scaling emerges naturally when gravitational energy dominates or is comparable to therma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.23161","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.23161/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:46:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kSQRjIB2axOd50M3Wlip9nImXhiSejsRuJcJ/LlHzejmxc1+hmeP2FrexJYNRHmXFAJ16fSHoe8VZM4OtPpaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T09:27:18.434686Z"},"content_sha256":"9a10cf9fc54322d9146f49c99d1fdbbcb4623d1027e93ba960c68783ac8abf6a","schema_version":"1.0","event_id":"sha256:9a10cf9fc54322d9146f49c99d1fdbbcb4623d1027e93ba960c68783ac8abf6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6PO2FCGRUJ2M5YAHWKOZZ5FIMI/bundle.json","state_url":"https://pith.science/pith/6PO2FCGRUJ2M5YAHWKOZZ5FIMI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6PO2FCGRUJ2M5YAHWKOZZ5FIMI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T09:27:18Z","links":{"resolver":"https://pith.science/pith/6PO2FCGRUJ2M5YAHWKOZZ5FIMI","bundle":"https://pith.science/pith/6PO2FCGRUJ2M5YAHWKOZZ5FIMI/bundle.json","state":"https://pith.science/pith/6PO2FCGRUJ2M5YAHWKOZZ5FIMI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6PO2FCGRUJ2M5YAHWKOZZ5FIMI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6PO2FCGRUJ2M5YAHWKOZZ5FIMI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"af061a8de1b99181f4bc8f808ed6d46ca8f19e6eeb00303baf1f35cbb1b0a0c9","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2025-07-30T23:47:53Z","title_canon_sha256":"9cea12789e80e265a027d471937ea67a89e2fa9955cce49e67d8cedd46897298"},"schema_version":"1.0","source":{"id":"2507.23161","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.23161","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"2507.23161v1","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.23161","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"6PO2FCGRUJ2M","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"pith_short_16","alias_value":"6PO2FCGRUJ2M5YAH","created_at":"2026-07-05T11:46:06Z"},{"alias_kind":"pith_short_8","alias_value":"6PO2FCGR","created_at":"2026-07-05T11:46:06Z"}],"graph_snapshots":[{"event_id":"sha256:9a10cf9fc54322d9146f49c99d1fdbbcb4623d1027e93ba960c68783ac8abf6a","target":"graph","created_at":"2026-07-05T11:46:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.23161/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Tidal disruption events (TDEs) involving supermassive black holes (SMBHs) often exhibit radio emission, yet its physical origin remains uncertain, especially in non-jetted cases. In this Letter, we formulate a general dynamical framework for a radio-emitting shell driven by disk winds and expanding through a power-law ambient medium under the influence of SMBH gravity. We derive and classify power-law-in-time solutions to the governing equations in the adiabatic regime. In particular, a universal $t^{2/3}$ scaling emerges naturally when gravitational energy dominates or is comparable to therma","authors_text":"Kimitake Hayasaki, Ryo Yamazaki","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2025-07-30T23:47:53Z","title":"Mass Determination of Supermassive Black Holes Governing Evolution of Radio Emitters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.23161","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:182eff466ec432fca07255eb65c81dc5814f9d4a29103da2a83fdd42e128ff36","target":"record","created_at":"2026-07-05T11:46:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"af061a8de1b99181f4bc8f808ed6d46ca8f19e6eeb00303baf1f35cbb1b0a0c9","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2025-07-30T23:47:53Z","title_canon_sha256":"9cea12789e80e265a027d471937ea67a89e2fa9955cce49e67d8cedd46897298"},"schema_version":"1.0","source":{"id":"2507.23161","kind":"arxiv","version":1}},"canonical_sha256":"f3dda288d1a274cee007b29d9cf4a8620168260e7b760ef5c6106a97be1f799d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3dda288d1a274cee007b29d9cf4a8620168260e7b760ef5c6106a97be1f799d","first_computed_at":"2026-07-05T11:46:06.716168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:46:06.716168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kfw5Sbv6Ej6b8TUYPNsmKppJUl2h+GOReWloHIq6Xesm6df0qfLEGvB8SsbniEcu+lZnozvnh54oGsC/IgbnAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:46:06.716698Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.23161","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:182eff466ec432fca07255eb65c81dc5814f9d4a29103da2a83fdd42e128ff36","sha256:9a10cf9fc54322d9146f49c99d1fdbbcb4623d1027e93ba960c68783ac8abf6a"],"state_sha256":"786755dfe1bb850605fe499be91d7e69cd5e8d8abf6b69a6863a9919d3c744b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YFT58en+/uJRCTPiN+v4zI6Y30qKudE1CSpsRKDQVtJETc8hc3PUn1AKMXBH8KHqGCitfg0eEanRm70SvY8uDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T09:27:18.438380Z","bundle_sha256":"5f67882ccce12431fdb9e80a301ecab8d502986513b3b0530c84e677fc02f7b6"}}