{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XSK4Z3VWZKVHNNGSB7QBNCU33E","short_pith_number":"pith:XSK4Z3VW","canonical_record":{"source":{"id":"1612.08635","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-27T14:02:01Z","cross_cats_sorted":[],"title_canon_sha256":"29dee03a38d3ead978c5c5fd05803b0774dae0b913d02b6cbe6b212c7d1d8418","abstract_canon_sha256":"cb24c7e23b0c81591c2ec04fce9f149baf0a57677d1325a4223dbad8a92e2b3e"},"schema_version":"1.0"},"canonical_sha256":"bc95cceeb6caaa76b4d20fe0168a9bd916f9932f21ca43a0ff3ae530da7f248a","source":{"kind":"arxiv","id":"1612.08635","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08635","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08635v2","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08635","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"pith_short_12","alias_value":"XSK4Z3VWZKVH","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XSK4Z3VWZKVHNNGS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XSK4Z3VW","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XSK4Z3VWZKVHNNGSB7QBNCU33E","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08635","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-27T14:02:01Z","cross_cats_sorted":[],"title_canon_sha256":"29dee03a38d3ead978c5c5fd05803b0774dae0b913d02b6cbe6b212c7d1d8418","abstract_canon_sha256":"cb24c7e23b0c81591c2ec04fce9f149baf0a57677d1325a4223dbad8a92e2b3e"},"schema_version":"1.0"},"canonical_sha256":"bc95cceeb6caaa76b4d20fe0168a9bd916f9932f21ca43a0ff3ae530da7f248a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:37.064534Z","signature_b64":"HfACC316Ykxgm0bqcdQ+GGL90+HLhyVV9GEhkO+idi6LinnIXcbjFX3Q4ybwks7F+DAyc8ZacxhmdHhKqAcPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc95cceeb6caaa76b4d20fe0168a9bd916f9932f21ca43a0ff3ae530da7f248a","last_reissued_at":"2026-05-18T00:52:37.064003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:37.064003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08635","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":"2026-05-18T00:52:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZivIA7jDKaLEM5AocoXICTYMWyL6ut3GbnDMU4JZ9y55CE2XhqjjGnkfUa2/nJ2QAh1dn/dgu09ogdzbZ5tgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:14:01.131070Z"},"content_sha256":"c8e36d196a0f382d4cbce08c231cb102677755a9083405c8105960694aca17a4","schema_version":"1.0","event_id":"sha256:c8e36d196a0f382d4cbce08c231cb102677755a9083405c8105960694aca17a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XSK4Z3VWZKVHNNGSB7QBNCU33E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collisional parameters of planetesimal belts, precursor of debris disks, perturbed by a nearby giant planet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"A. Dell'Oro, F. Marzari","submitted_at":"2016-12-27T14:02:01Z","abstract_excerpt":"Planetesimal belts are invoked to explain the prolonged existence of debris disks. Important parameters to model their collisional evolution and to compute the dust production rate are the intrinsic probability of collision $P_i$ and the mean impact velocity $U_c$. If a planet orbits close to the belt, the values of both these parameters are affected by its secular perturbations yielding a strong correlation between eccentricity $e$ and pericentre longitude $\\varpi$. We adopt a new algorithm to compute both $P_i$ and $U_c$ in presence of various levels of secular correlation due to different r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08635","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":"2026-05-18T00:52:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aysObxTAw43irMF1b20cdygjViq+DOeKeZ5wYHAwccxays0opeS/seAtp5MuJJizWa61z8rICAPUnBqpX4nvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:14:01.131462Z"},"content_sha256":"8788fe64fe94c8e2b362c1526914e739e720fba76c7c7bcaa6ff6e6f971af338","schema_version":"1.0","event_id":"sha256:8788fe64fe94c8e2b362c1526914e739e720fba76c7c7bcaa6ff6e6f971af338"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XSK4Z3VWZKVHNNGSB7QBNCU33E/bundle.json","state_url":"https://pith.science/pith/XSK4Z3VWZKVHNNGSB7QBNCU33E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XSK4Z3VWZKVHNNGSB7QBNCU33E/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":"2026-06-02T05:14:01Z","links":{"resolver":"https://pith.science/pith/XSK4Z3VWZKVHNNGSB7QBNCU33E","bundle":"https://pith.science/pith/XSK4Z3VWZKVHNNGSB7QBNCU33E/bundle.json","state":"https://pith.science/pith/XSK4Z3VWZKVHNNGSB7QBNCU33E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XSK4Z3VWZKVHNNGSB7QBNCU33E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XSK4Z3VWZKVHNNGSB7QBNCU33E","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":"cb24c7e23b0c81591c2ec04fce9f149baf0a57677d1325a4223dbad8a92e2b3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-27T14:02:01Z","title_canon_sha256":"29dee03a38d3ead978c5c5fd05803b0774dae0b913d02b6cbe6b212c7d1d8418"},"schema_version":"1.0","source":{"id":"1612.08635","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08635","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08635v2","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08635","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"pith_short_12","alias_value":"XSK4Z3VWZKVH","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XSK4Z3VWZKVHNNGS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XSK4Z3VW","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:8788fe64fe94c8e2b362c1526914e739e720fba76c7c7bcaa6ff6e6f971af338","target":"graph","created_at":"2026-05-18T00:52:37Z","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":"Planetesimal belts are invoked to explain the prolonged existence of debris disks. Important parameters to model their collisional evolution and to compute the dust production rate are the intrinsic probability of collision $P_i$ and the mean impact velocity $U_c$. If a planet orbits close to the belt, the values of both these parameters are affected by its secular perturbations yielding a strong correlation between eccentricity $e$ and pericentre longitude $\\varpi$. We adopt a new algorithm to compute both $P_i$ and $U_c$ in presence of various levels of secular correlation due to different r","authors_text":"A. Dell'Oro, F. Marzari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-27T14:02:01Z","title":"Collisional parameters of planetesimal belts, precursor of debris disks, perturbed by a nearby giant planet"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08635","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:c8e36d196a0f382d4cbce08c231cb102677755a9083405c8105960694aca17a4","target":"record","created_at":"2026-05-18T00:52:37Z","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":"cb24c7e23b0c81591c2ec04fce9f149baf0a57677d1325a4223dbad8a92e2b3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-12-27T14:02:01Z","title_canon_sha256":"29dee03a38d3ead978c5c5fd05803b0774dae0b913d02b6cbe6b212c7d1d8418"},"schema_version":"1.0","source":{"id":"1612.08635","kind":"arxiv","version":2}},"canonical_sha256":"bc95cceeb6caaa76b4d20fe0168a9bd916f9932f21ca43a0ff3ae530da7f248a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc95cceeb6caaa76b4d20fe0168a9bd916f9932f21ca43a0ff3ae530da7f248a","first_computed_at":"2026-05-18T00:52:37.064003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:37.064003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HfACC316Ykxgm0bqcdQ+GGL90+HLhyVV9GEhkO+idi6LinnIXcbjFX3Q4ybwks7F+DAyc8ZacxhmdHhKqAcPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:37.064534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08635","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8e36d196a0f382d4cbce08c231cb102677755a9083405c8105960694aca17a4","sha256:8788fe64fe94c8e2b362c1526914e739e720fba76c7c7bcaa6ff6e6f971af338"],"state_sha256":"b42b934f6bce2d4da4ec8cc3a1e027c55ebe98bb529eee55ed04fdfca513a369"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P8/45hQgOL0j6B56qhRqkl8QKAs4qFh/RbFWjn+PkbyG7RccwXWThHOQR7KMUTJdvqf681WoDyWV52EIUAhHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:14:01.133560Z","bundle_sha256":"fdc07fd422c91e879f3e62206adfd850591a299ef4d7e6d30b4c8b025dbb5b46"}}