{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:YPT56B7MBM4OWNYVRLGY64O4ZI","short_pith_number":"pith:YPT56B7M","canonical_record":{"source":{"id":"2303.00878","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2023-03-02T00:34:56Z","cross_cats_sorted":[],"title_canon_sha256":"c630edf094cc7459fce1cb6a10087d419304a4526bce46c3e0fe35184a210c93","abstract_canon_sha256":"556895fba148cb16cb66908d573f0ff5173f25419d8a2f8a3997b1e96af254e6"},"schema_version":"1.0"},"canonical_sha256":"c3e7df07ec0b38eb37158acd8f71dcca1e6e24b9fd8276c86c160af98bf0424b","source":{"kind":"arxiv","id":"2303.00878","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.00878","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"2303.00878v3","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.00878","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"YPT56B7MBM4O","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"YPT56B7MBM4OWNYV","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"YPT56B7M","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:YPT56B7MBM4OWNYVRLGY64O4ZI","target":"record","payload":{"canonical_record":{"source":{"id":"2303.00878","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2023-03-02T00:34:56Z","cross_cats_sorted":[],"title_canon_sha256":"c630edf094cc7459fce1cb6a10087d419304a4526bce46c3e0fe35184a210c93","abstract_canon_sha256":"556895fba148cb16cb66908d573f0ff5173f25419d8a2f8a3997b1e96af254e6"},"schema_version":"1.0"},"canonical_sha256":"c3e7df07ec0b38eb37158acd8f71dcca1e6e24b9fd8276c86c160af98bf0424b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:39.829159Z","signature_b64":"epo5n29HrcZ7ih7EngRR2HB+8kAZ6lyk+aZqEOz/E+vKA2wP0d+H/Tht8NxO1WhyMklYcEh1R9zqr7tJwRI9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3e7df07ec0b38eb37158acd8f71dcca1e6e24b9fd8276c86c160af98bf0424b","last_reissued_at":"2026-05-18T02:44:39.828571Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:39.828571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.00878","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uB+uYvzQ60t5rjo+hX9qBvLDHjsqFgTY8qqxDwIwLkIG7RSdSAP6yknnCm7i2JyYmTp5G71QK5heaKFpKpGeBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:35:58.048916Z"},"content_sha256":"2347b704cfb2af928bc89feea06a25dbf1bf5b31f4eb15303cc6ca57edf6110a","schema_version":"1.0","event_id":"sha256:2347b704cfb2af928bc89feea06a25dbf1bf5b31f4eb15303cc6ca57edf6110a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:YPT56B7MBM4OWNYVRLGY64O4ZI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interactive Exploration of the Temporal $\\alpha$-Shape","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Felix Weitbrecht","submitted_at":"2023-03-02T00:34:56Z","abstract_excerpt":"Shape is a powerful tool to understand point sets. A formal notion of shape is given by $\\alpha$-shapes, which generalize the convex hull and provide adjustable level of detail. Many real-world point sets have an inherent temporal property as natural processes often happen over time, like lightning strikes during thunderstorms or moving animal swarms. To explore such point sets, where each point is associated with one timestamp, interactive applications may utilize $\\alpha$-shapes and allow the user to specify different time windows and $\\alpha$-values. We show how to compute the temporal $\\al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.00878","kind":"arxiv","version":3},"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":"2026-05-18T02:44:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iwnNi9GxuLGACdbrGmz3r/7vbHNnJ+oWCIl8tCUjANmRGr5CpwFIb0VY1znPKfX27S4Zv7S1Ti6wsR4lhYPbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:35:58.049263Z"},"content_sha256":"a80e0ef150a558f086166f5d392d57ee0b15da31ab822fc144f083aab4026d1a","schema_version":"1.0","event_id":"sha256:a80e0ef150a558f086166f5d392d57ee0b15da31ab822fc144f083aab4026d1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YPT56B7MBM4OWNYVRLGY64O4ZI/bundle.json","state_url":"https://pith.science/pith/YPT56B7MBM4OWNYVRLGY64O4ZI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YPT56B7MBM4OWNYVRLGY64O4ZI/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":"2026-06-03T17:35:58Z","links":{"resolver":"https://pith.science/pith/YPT56B7MBM4OWNYVRLGY64O4ZI","bundle":"https://pith.science/pith/YPT56B7MBM4OWNYVRLGY64O4ZI/bundle.json","state":"https://pith.science/pith/YPT56B7MBM4OWNYVRLGY64O4ZI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YPT56B7MBM4OWNYVRLGY64O4ZI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YPT56B7MBM4OWNYVRLGY64O4ZI","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":"556895fba148cb16cb66908d573f0ff5173f25419d8a2f8a3997b1e96af254e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2023-03-02T00:34:56Z","title_canon_sha256":"c630edf094cc7459fce1cb6a10087d419304a4526bce46c3e0fe35184a210c93"},"schema_version":"1.0","source":{"id":"2303.00878","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.00878","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"2303.00878v3","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.00878","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"YPT56B7MBM4O","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"YPT56B7MBM4OWNYV","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"YPT56B7M","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:a80e0ef150a558f086166f5d392d57ee0b15da31ab822fc144f083aab4026d1a","target":"graph","created_at":"2026-05-18T02:44:39Z","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":"Shape is a powerful tool to understand point sets. A formal notion of shape is given by $\\alpha$-shapes, which generalize the convex hull and provide adjustable level of detail. Many real-world point sets have an inherent temporal property as natural processes often happen over time, like lightning strikes during thunderstorms or moving animal swarms. To explore such point sets, where each point is associated with one timestamp, interactive applications may utilize $\\alpha$-shapes and allow the user to specify different time windows and $\\alpha$-values. We show how to compute the temporal $\\al","authors_text":"Felix Weitbrecht","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2023-03-02T00:34:56Z","title":"Interactive Exploration of the Temporal $\\alpha$-Shape"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.00878","kind":"arxiv","version":3},"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":"sha256:2347b704cfb2af928bc89feea06a25dbf1bf5b31f4eb15303cc6ca57edf6110a","target":"record","created_at":"2026-05-18T02:44:39Z","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":"556895fba148cb16cb66908d573f0ff5173f25419d8a2f8a3997b1e96af254e6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2023-03-02T00:34:56Z","title_canon_sha256":"c630edf094cc7459fce1cb6a10087d419304a4526bce46c3e0fe35184a210c93"},"schema_version":"1.0","source":{"id":"2303.00878","kind":"arxiv","version":3}},"canonical_sha256":"c3e7df07ec0b38eb37158acd8f71dcca1e6e24b9fd8276c86c160af98bf0424b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3e7df07ec0b38eb37158acd8f71dcca1e6e24b9fd8276c86c160af98bf0424b","first_computed_at":"2026-05-18T02:44:39.828571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:39.828571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"epo5n29HrcZ7ih7EngRR2HB+8kAZ6lyk+aZqEOz/E+vKA2wP0d+H/Tht8NxO1WhyMklYcEh1R9zqr7tJwRI9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:39.829159Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.00878","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2347b704cfb2af928bc89feea06a25dbf1bf5b31f4eb15303cc6ca57edf6110a","sha256:a80e0ef150a558f086166f5d392d57ee0b15da31ab822fc144f083aab4026d1a"],"state_sha256":"c664183a2b2e12914bcded141fc307b6bcd53c67032b3dd4caed98d9fd57241f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CDEwn4CSvOYKp+JQTwzEQBYH+rkCvU789KbVOzpM6vtwawY0UqWWW5zy7xFB/xU3+8gVrNt7LrrQfV2t12S+Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:35:58.051163Z","bundle_sha256":"72787f744f2bc07d38225ea5b08913f306b09f82048e5ca061638b23bc98b634"}}