{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:VBNUZFLK2DDHK2HTTO6FM5DPUE","short_pith_number":"pith:VBNUZFLK","canonical_record":{"source":{"id":"astro-ph/9506082","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1995-06-13T13:54:16Z","cross_cats_sorted":[],"title_canon_sha256":"6e1e3101ce79289071e9677da55198362d82b9ac3e1dd5f916eec545ecd04bd0","abstract_canon_sha256":"bb12222f8fe29d155836c83e6ca793bbbe17c4754c8da89c2ce40e6fe8bff128"},"schema_version":"1.0"},"canonical_sha256":"a85b4c956ad0c67568f39bbc56746fa129e6a253af9a6d5dab7d2fa7530fa20a","source":{"kind":"arxiv","id":"astro-ph/9506082","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9506082","created_at":"2026-05-18T01:40:23Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9506082v2","created_at":"2026-05-18T01:40:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9506082","created_at":"2026-05-18T01:40:23Z"},{"alias_kind":"pith_short_12","alias_value":"VBNUZFLK2DDH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"VBNUZFLK2DDHK2HT","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"VBNUZFLK","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:VBNUZFLK2DDHK2HTTO6FM5DPUE","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9506082","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1995-06-13T13:54:16Z","cross_cats_sorted":[],"title_canon_sha256":"6e1e3101ce79289071e9677da55198362d82b9ac3e1dd5f916eec545ecd04bd0","abstract_canon_sha256":"bb12222f8fe29d155836c83e6ca793bbbe17c4754c8da89c2ce40e6fe8bff128"},"schema_version":"1.0"},"canonical_sha256":"a85b4c956ad0c67568f39bbc56746fa129e6a253af9a6d5dab7d2fa7530fa20a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:23.198111Z","signature_b64":"wqQjwGqJ+F2jB2D28B82enxJWLU+PR3g5ovi2UffOMr/uH7/R2n9m0nkpOOO3wlSgSHF+Bu011YQU9HRH32/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a85b4c956ad0c67568f39bbc56746fa129e6a253af9a6d5dab7d2fa7530fa20a","last_reissued_at":"2026-05-18T01:40:23.197432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:23.197432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9506082","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cg6zr51r/t6MF07Oc47MrndbH6NHxLgXsbbXvsqzBYa8VyKY2Zmp11ie44X9VuxVvP/dQPr34QLWJodaViSrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:07:29.671612Z"},"content_sha256":"9e05c1a1df00d3d7db125919f292f66cfb6a1bd0715d83d440cce11ad62c84dc","schema_version":"1.0","event_id":"sha256:9e05c1a1df00d3d7db125919f292f66cfb6a1bd0715d83d440cce11ad62c84dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:VBNUZFLK2DDHK2HTTO6FM5DPUE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Effect of Encounters on the Eccentricity of Binaries in Clusters","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Douglas C. Heggie, Frederic A. Rasio","submitted_at":"1995-06-13T13:54:16Z","abstract_excerpt":"We derive analytical expressions for the change in the orbital eccentricity of a binary following a distant encounter with a third star on a hyperbolic or parabolic orbit. To establish the accuracy of these expressions, we present detailed comparisons with the results of direct numerical integrations of the equations of motion for the three bodies. We treat with particular care the difficult case of a binary with zero initial eccentricity. In this case, we show that the eccentricity $\\delta e$ induced by the encounter declines in general as a power-law, $\\delta e\\propto (a/\\rp)^{5/2}$, where $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9506082","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:40:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"levGYtsD+mjwgY4pWou+eOZYnpIqUQ3XgPyh3AQOtm9zC5vgvgfpwCDS4N6HnGMSuhgkrfx3fhDvs6sXw6UDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:07:29.672340Z"},"content_sha256":"fd0d7baf308c2cb6408ca7cc776b68ef530da424e54c370ed684f3ef0b05991d","schema_version":"1.0","event_id":"sha256:fd0d7baf308c2cb6408ca7cc776b68ef530da424e54c370ed684f3ef0b05991d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBNUZFLK2DDHK2HTTO6FM5DPUE/bundle.json","state_url":"https://pith.science/pith/VBNUZFLK2DDHK2HTTO6FM5DPUE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBNUZFLK2DDHK2HTTO6FM5DPUE/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":"2026-06-09T08:07:29Z","links":{"resolver":"https://pith.science/pith/VBNUZFLK2DDHK2HTTO6FM5DPUE","bundle":"https://pith.science/pith/VBNUZFLK2DDHK2HTTO6FM5DPUE/bundle.json","state":"https://pith.science/pith/VBNUZFLK2DDHK2HTTO6FM5DPUE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBNUZFLK2DDHK2HTTO6FM5DPUE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:VBNUZFLK2DDHK2HTTO6FM5DPUE","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":"bb12222f8fe29d155836c83e6ca793bbbe17c4754c8da89c2ce40e6fe8bff128","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1995-06-13T13:54:16Z","title_canon_sha256":"6e1e3101ce79289071e9677da55198362d82b9ac3e1dd5f916eec545ecd04bd0"},"schema_version":"1.0","source":{"id":"astro-ph/9506082","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9506082","created_at":"2026-05-18T01:40:23Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9506082v2","created_at":"2026-05-18T01:40:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9506082","created_at":"2026-05-18T01:40:23Z"},{"alias_kind":"pith_short_12","alias_value":"VBNUZFLK2DDH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"VBNUZFLK2DDHK2HT","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"VBNUZFLK","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:fd0d7baf308c2cb6408ca7cc776b68ef530da424e54c370ed684f3ef0b05991d","target":"graph","created_at":"2026-05-18T01:40:23Z","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"},"paper":{"abstract_excerpt":"We derive analytical expressions for the change in the orbital eccentricity of a binary following a distant encounter with a third star on a hyperbolic or parabolic orbit. To establish the accuracy of these expressions, we present detailed comparisons with the results of direct numerical integrations of the equations of motion for the three bodies. We treat with particular care the difficult case of a binary with zero initial eccentricity. In this case, we show that the eccentricity $\\delta e$ induced by the encounter declines in general as a power-law, $\\delta e\\propto (a/\\rp)^{5/2}$, where $","authors_text":"Douglas C. Heggie, Frederic A. Rasio","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1995-06-13T13:54:16Z","title":"The Effect of Encounters on the Eccentricity of Binaries in Clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9506082","kind":"arxiv","version":2},"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":"sha256:9e05c1a1df00d3d7db125919f292f66cfb6a1bd0715d83d440cce11ad62c84dc","target":"record","created_at":"2026-05-18T01:40:23Z","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":"bb12222f8fe29d155836c83e6ca793bbbe17c4754c8da89c2ce40e6fe8bff128","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1995-06-13T13:54:16Z","title_canon_sha256":"6e1e3101ce79289071e9677da55198362d82b9ac3e1dd5f916eec545ecd04bd0"},"schema_version":"1.0","source":{"id":"astro-ph/9506082","kind":"arxiv","version":2}},"canonical_sha256":"a85b4c956ad0c67568f39bbc56746fa129e6a253af9a6d5dab7d2fa7530fa20a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a85b4c956ad0c67568f39bbc56746fa129e6a253af9a6d5dab7d2fa7530fa20a","first_computed_at":"2026-05-18T01:40:23.197432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:23.197432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wqQjwGqJ+F2jB2D28B82enxJWLU+PR3g5ovi2UffOMr/uH7/R2n9m0nkpOOO3wlSgSHF+Bu011YQU9HRH32/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:23.198111Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9506082","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e05c1a1df00d3d7db125919f292f66cfb6a1bd0715d83d440cce11ad62c84dc","sha256:fd0d7baf308c2cb6408ca7cc776b68ef530da424e54c370ed684f3ef0b05991d"],"state_sha256":"b11d2b2dcb815a43050ada4b3d4ca4ac468c74be6a8ec5f4bb7748ebfa9cdc07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y8CQaaGhZsKESaQHetVLi0LZhkiZZ52DWQijM3/y2YhsyiM6uH0rhUZoTQhLUi/FRxPjm2NdHwj8L9ZAl1wiDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:07:29.676229Z","bundle_sha256":"9aa7927639f3aa7645b001c02a16df8aa287d73eef00e46107d7df6b88490cd9"}}