{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:W4OMEDG2K4QYPSBUS2PSNZTXLB","short_pith_number":"pith:W4OMEDG2","canonical_record":{"source":{"id":"2503.08106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-03-11T07:15:49Z","cross_cats_sorted":["cs.RO","cs.SY"],"title_canon_sha256":"83548971bfd5c437c51ea246b06fc2f98b58925a58f4162ec320c4887e96a488","abstract_canon_sha256":"6fece5e7c17e2d04daffa61880ab0bf9f8d7d35e9ae9ba61a2460e73a60ac2ec"},"schema_version":"1.0"},"canonical_sha256":"b71cc20cda572187c834969f26e6775851fcf871727caf8b2b9b31a96c1ae16a","source":{"kind":"arxiv","id":"2503.08106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.08106","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"arxiv_version","alias_value":"2503.08106v1","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.08106","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"pith_short_12","alias_value":"W4OMEDG2K4QY","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"pith_short_16","alias_value":"W4OMEDG2K4QYPSBU","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"pith_short_8","alias_value":"W4OMEDG2","created_at":"2026-07-05T10:28:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:W4OMEDG2K4QYPSBUS2PSNZTXLB","target":"record","payload":{"canonical_record":{"source":{"id":"2503.08106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-03-11T07:15:49Z","cross_cats_sorted":["cs.RO","cs.SY"],"title_canon_sha256":"83548971bfd5c437c51ea246b06fc2f98b58925a58f4162ec320c4887e96a488","abstract_canon_sha256":"6fece5e7c17e2d04daffa61880ab0bf9f8d7d35e9ae9ba61a2460e73a60ac2ec"},"schema_version":"1.0"},"canonical_sha256":"b71cc20cda572187c834969f26e6775851fcf871727caf8b2b9b31a96c1ae16a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:28:51.246666Z","signature_b64":"Yxp7HaUw/o2cTZgDwC88j3gyHgGkh/VAH2Abj/ceQLw+KLIR6k5T6kIQ7GCs2kkDsnIlJ5hndpi5x2aI1DBdDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b71cc20cda572187c834969f26e6775851fcf871727caf8b2b9b31a96c1ae16a","last_reissued_at":"2026-07-05T10:28:51.246202Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:28:51.246202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.08106","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":"2026-07-05T10:28:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r+saGtojt+eMoM8oO9ODB1WFMMBVClvjBViPhpgJ7rup3Mty+HfdjqTq0ZqHh/5tatOfhlw2K24hMHnSGOJcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T02:31:13.252938Z"},"content_sha256":"467e86ee6e925d3c210090ae59ad41c2db5d5d15c0c1026ef332747f736e86a6","schema_version":"1.0","event_id":"sha256:467e86ee6e925d3c210090ae59ad41c2db5d5d15c0c1026ef332747f736e86a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:W4OMEDG2K4QYPSBUS2PSNZTXLB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Control Barrier Functions for Prescribed-time Reach-Avoid-Stay Tasks using Spatiotemporal Tubes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.RO","cs.SY"],"primary_cat":"eess.SY","authors_text":"Pranav Bakshi, Pushpak Jagtap, Ratnangshu Das","submitted_at":"2025-03-11T07:15:49Z","abstract_excerpt":"Prescribed-time reach-avoid-stay (PT-RAS) specifications are crucial in applications requiring precise timing, state constraints, and safety guarantees. While control carrier functions (CBFs) have emerged as a promising approach, providing formal guarantees of safety, constructing CBFs that satisfy PT-RAS specifications remains challenging. In this paper, we present a novel approach using a spatiotemporal tubes (STTs) framework to construct CBFs for PT-RAS tasks. The STT framework allows for the systematic design of CBFs that dynamically manage both spatial and temporal constraints, ensuring t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.08106","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/2503.08106/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":"2026-07-05T10:28:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j8on9oepX5bK64v0z0e4lamW4cmR15MxbPmQzjwvQqrBy4O7lYhxfOeuC0iVks9Lo6Fix2AqrpAfltgMMPdTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T02:31:13.253836Z"},"content_sha256":"c464b31942f174d68e97b0394ba57b7009faac620a1126720427ee0a29bf0b89","schema_version":"1.0","event_id":"sha256:c464b31942f174d68e97b0394ba57b7009faac620a1126720427ee0a29bf0b89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W4OMEDG2K4QYPSBUS2PSNZTXLB/bundle.json","state_url":"https://pith.science/pith/W4OMEDG2K4QYPSBUS2PSNZTXLB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W4OMEDG2K4QYPSBUS2PSNZTXLB/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":"2026-08-13T02:31:13Z","links":{"resolver":"https://pith.science/pith/W4OMEDG2K4QYPSBUS2PSNZTXLB","bundle":"https://pith.science/pith/W4OMEDG2K4QYPSBUS2PSNZTXLB/bundle.json","state":"https://pith.science/pith/W4OMEDG2K4QYPSBUS2PSNZTXLB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W4OMEDG2K4QYPSBUS2PSNZTXLB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:W4OMEDG2K4QYPSBUS2PSNZTXLB","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":"6fece5e7c17e2d04daffa61880ab0bf9f8d7d35e9ae9ba61a2460e73a60ac2ec","cross_cats_sorted":["cs.RO","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-03-11T07:15:49Z","title_canon_sha256":"83548971bfd5c437c51ea246b06fc2f98b58925a58f4162ec320c4887e96a488"},"schema_version":"1.0","source":{"id":"2503.08106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.08106","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"arxiv_version","alias_value":"2503.08106v1","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.08106","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"pith_short_12","alias_value":"W4OMEDG2K4QY","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"pith_short_16","alias_value":"W4OMEDG2K4QYPSBU","created_at":"2026-07-05T10:28:51Z"},{"alias_kind":"pith_short_8","alias_value":"W4OMEDG2","created_at":"2026-07-05T10:28:51Z"}],"graph_snapshots":[{"event_id":"sha256:c464b31942f174d68e97b0394ba57b7009faac620a1126720427ee0a29bf0b89","target":"graph","created_at":"2026-07-05T10:28:51Z","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/2503.08106/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Prescribed-time reach-avoid-stay (PT-RAS) specifications are crucial in applications requiring precise timing, state constraints, and safety guarantees. While control carrier functions (CBFs) have emerged as a promising approach, providing formal guarantees of safety, constructing CBFs that satisfy PT-RAS specifications remains challenging. In this paper, we present a novel approach using a spatiotemporal tubes (STTs) framework to construct CBFs for PT-RAS tasks. The STT framework allows for the systematic design of CBFs that dynamically manage both spatial and temporal constraints, ensuring t","authors_text":"Pranav Bakshi, Pushpak Jagtap, Ratnangshu Das","cross_cats":["cs.RO","cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-03-11T07:15:49Z","title":"Control Barrier Functions for Prescribed-time Reach-Avoid-Stay Tasks using Spatiotemporal Tubes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.08106","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":"sha256:467e86ee6e925d3c210090ae59ad41c2db5d5d15c0c1026ef332747f736e86a6","target":"record","created_at":"2026-07-05T10:28:51Z","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":"6fece5e7c17e2d04daffa61880ab0bf9f8d7d35e9ae9ba61a2460e73a60ac2ec","cross_cats_sorted":["cs.RO","cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-03-11T07:15:49Z","title_canon_sha256":"83548971bfd5c437c51ea246b06fc2f98b58925a58f4162ec320c4887e96a488"},"schema_version":"1.0","source":{"id":"2503.08106","kind":"arxiv","version":1}},"canonical_sha256":"b71cc20cda572187c834969f26e6775851fcf871727caf8b2b9b31a96c1ae16a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b71cc20cda572187c834969f26e6775851fcf871727caf8b2b9b31a96c1ae16a","first_computed_at":"2026-07-05T10:28:51.246202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:28:51.246202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yxp7HaUw/o2cTZgDwC88j3gyHgGkh/VAH2Abj/ceQLw+KLIR6k5T6kIQ7GCs2kkDsnIlJ5hndpi5x2aI1DBdDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:28:51.246666Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.08106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:467e86ee6e925d3c210090ae59ad41c2db5d5d15c0c1026ef332747f736e86a6","sha256:c464b31942f174d68e97b0394ba57b7009faac620a1126720427ee0a29bf0b89"],"state_sha256":"1a246c824001649d4bc892f7716d6f4134cfe24b0251138bf134782b7b448960"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yeq7BQsIX91pMccqemjmZZP7othrp+wVeHM2AAyUNHXKftRXF1igrxdPeY91In7zqT7U7u085toAeEPzaD/xDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T02:31:13.258961Z","bundle_sha256":"def6f6ad7eb1566d90c1378fb0a53a970312039f751b8ba35f274aac7f010a4f"}}