{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7YK5BHBLSL7ZE4DGJODS7QGBDZ","short_pith_number":"pith:7YK5BHBL","canonical_record":{"source":{"id":"2607.13152","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-14T18:03:32Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"166523a70250257fdbc33e294026a5cb19e707a74997936a1aff8eded856728e","abstract_canon_sha256":"5985d0c3c15ec28a304a1f370bc3f92ee49e8ff83ef9afff4ceb561891064bfc"},"schema_version":"1.0"},"canonical_sha256":"fe15d09c2b92ff9270664b872fc0c11e56c968f7baaae80bc9577de7b6ea2abe","source":{"kind":"arxiv","id":"2607.13152","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13152","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13152v1","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13152","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"7YK5BHBLSL7Z","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"pith_short_16","alias_value":"7YK5BHBLSL7ZE4DG","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"pith_short_8","alias_value":"7YK5BHBL","created_at":"2026-07-16T00:22:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7YK5BHBLSL7ZE4DGJODS7QGBDZ","target":"record","payload":{"canonical_record":{"source":{"id":"2607.13152","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-14T18:03:32Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"166523a70250257fdbc33e294026a5cb19e707a74997936a1aff8eded856728e","abstract_canon_sha256":"5985d0c3c15ec28a304a1f370bc3f92ee49e8ff83ef9afff4ceb561891064bfc"},"schema_version":"1.0"},"canonical_sha256":"fe15d09c2b92ff9270664b872fc0c11e56c968f7baaae80bc9577de7b6ea2abe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-16T00:22:00.183429Z","signature_b64":"IoR/OR5v6FYso0vALXxdFyeQrnPv2HfV6XS7cGEDMGGow3VYU+CH4UlCEZMM9whlkevBJyOA8iEXfhMC1pl8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe15d09c2b92ff9270664b872fc0c11e56c968f7baaae80bc9577de7b6ea2abe","last_reissued_at":"2026-07-16T00:22:00.182632Z","signature_status":"signed_v1","first_computed_at":"2026-07-16T00:22:00.182632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.13152","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":"2026-07-16T00:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hxsJcUiFfdyRKqaDe9ixibdJXVBfoWTML44A69Gy7yyG8k1Kk76EWjv9w8dNu7j/GgidGX1MAqyjAekbjh9IAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:25:15.000825Z"},"content_sha256":"6934511772d1f7ee6501e69af6c1b9966b33478470dcdc3d173e74f6beed39cd","schema_version":"1.0","event_id":"sha256:6934511772d1f7ee6501e69af6c1b9966b33478470dcdc3d173e74f6beed39cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7YK5BHBLSL7ZE4DGJODS7QGBDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics in Nuclear Stellar Clusters: The Impact of Collisions and Disrupted Binaries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"astro-ph.GA","authors_text":"Barak Rom, Re'em Sari","submitted_at":"2026-07-14T18:03:32Z","abstract_excerpt":"The nuclear stellar clusters surrounding supermassive black holes (SMBHs) host millions of stars and stellar remnants. We study how stellar collisions and binary disruptions, alongside two-body scattering and gravitational-wave (GW) emission, shape the stellar distribution and regulate the abundance of stars on tightly bound orbits. We show the following. (a) Stars in the inner region of the cluster follow a steady-state density profile scaling as $n(r)\\propto r^{-5/4}$, set by the balance between collisional depletion and binary replenishment. This profile is largely independent of whether tw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13152","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/2607.13152/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":"2026-07-16T00:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1DJlTp4evtamPx2IGLHm3lxeI1likpmdxdnipxqXN+N94Qf0og3ZuJpbbNa8qut6XuxYnB2qSL00ohtbay8gAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:25:15.001774Z"},"content_sha256":"ec40be6f98727321898d2d4b42170963f75af38ce9b37a1a16734a54cf4be384","schema_version":"1.0","event_id":"sha256:ec40be6f98727321898d2d4b42170963f75af38ce9b37a1a16734a54cf4be384"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YK5BHBLSL7ZE4DGJODS7QGBDZ/bundle.json","state_url":"https://pith.science/pith/7YK5BHBLSL7ZE4DGJODS7QGBDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YK5BHBLSL7ZE4DGJODS7QGBDZ/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":"2026-08-05T02:25:15Z","links":{"resolver":"https://pith.science/pith/7YK5BHBLSL7ZE4DGJODS7QGBDZ","bundle":"https://pith.science/pith/7YK5BHBLSL7ZE4DGJODS7QGBDZ/bundle.json","state":"https://pith.science/pith/7YK5BHBLSL7ZE4DGJODS7QGBDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YK5BHBLSL7ZE4DGJODS7QGBDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7YK5BHBLSL7ZE4DGJODS7QGBDZ","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":"5985d0c3c15ec28a304a1f370bc3f92ee49e8ff83ef9afff4ceb561891064bfc","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-14T18:03:32Z","title_canon_sha256":"166523a70250257fdbc33e294026a5cb19e707a74997936a1aff8eded856728e"},"schema_version":"1.0","source":{"id":"2607.13152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13152","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13152v1","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13152","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"7YK5BHBLSL7Z","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"pith_short_16","alias_value":"7YK5BHBLSL7ZE4DG","created_at":"2026-07-16T00:22:00Z"},{"alias_kind":"pith_short_8","alias_value":"7YK5BHBL","created_at":"2026-07-16T00:22:00Z"}],"graph_snapshots":[{"event_id":"sha256:ec40be6f98727321898d2d4b42170963f75af38ce9b37a1a16734a54cf4be384","target":"graph","created_at":"2026-07-16T00:22:00Z","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/2607.13152/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The nuclear stellar clusters surrounding supermassive black holes (SMBHs) host millions of stars and stellar remnants. We study how stellar collisions and binary disruptions, alongside two-body scattering and gravitational-wave (GW) emission, shape the stellar distribution and regulate the abundance of stars on tightly bound orbits. We show the following. (a) Stars in the inner region of the cluster follow a steady-state density profile scaling as $n(r)\\propto r^{-5/4}$, set by the balance between collisional depletion and binary replenishment. This profile is largely independent of whether tw","authors_text":"Barak Rom, Re'em Sari","cross_cats":["astro-ph.HE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-14T18:03:32Z","title":"Dynamics in Nuclear Stellar Clusters: The Impact of Collisions and Disrupted Binaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13152","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":"sha256:6934511772d1f7ee6501e69af6c1b9966b33478470dcdc3d173e74f6beed39cd","target":"record","created_at":"2026-07-16T00:22:00Z","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":"5985d0c3c15ec28a304a1f370bc3f92ee49e8ff83ef9afff4ceb561891064bfc","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-14T18:03:32Z","title_canon_sha256":"166523a70250257fdbc33e294026a5cb19e707a74997936a1aff8eded856728e"},"schema_version":"1.0","source":{"id":"2607.13152","kind":"arxiv","version":1}},"canonical_sha256":"fe15d09c2b92ff9270664b872fc0c11e56c968f7baaae80bc9577de7b6ea2abe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe15d09c2b92ff9270664b872fc0c11e56c968f7baaae80bc9577de7b6ea2abe","first_computed_at":"2026-07-16T00:22:00.182632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-16T00:22:00.182632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IoR/OR5v6FYso0vALXxdFyeQrnPv2HfV6XS7cGEDMGGow3VYU+CH4UlCEZMM9whlkevBJyOA8iEXfhMC1pl8CA==","signature_status":"signed_v1","signed_at":"2026-07-16T00:22:00.183429Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.13152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6934511772d1f7ee6501e69af6c1b9966b33478470dcdc3d173e74f6beed39cd","sha256:ec40be6f98727321898d2d4b42170963f75af38ce9b37a1a16734a54cf4be384"],"state_sha256":"b94d80da91a2fab8f4f1612604893afc5cd850c4cba4727933fcda795ffcda73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YzyZRlQdexDtE4V3WKHz7fz4NvKG/7Gni6b5pcidWzoxpR8yShmAyJleQTudq6szI51Amdz6OxajTEFNIcVYCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:25:15.009809Z","bundle_sha256":"2d26e9cad008e73499408a472829a666a3d4b52e3f8c3d3607ffdb51364ac31f"}}