{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2L5T2LMSB4M22H7ADLVAQCB4SX","short_pith_number":"pith:2L5T2LMS","canonical_record":{"source":{"id":"2606.30242","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T12:52:47Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"5c0c1d8e2fdd1717141ba55a895281ee798ea19bc58bdc799aed6f348dc384cc","abstract_canon_sha256":"d2a70117cc02f1ddd0a782bee8811da9b5afa2212a6fc878ceec096136b8d1ec"},"schema_version":"1.0"},"canonical_sha256":"d2fb3d2d920f19ad1fe01aea08083c95d32090849bd83569720b6bd71be813d0","source":{"kind":"arxiv","id":"2606.30242","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30242","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30242v1","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30242","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"2L5T2LMSB4M2","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_16","alias_value":"2L5T2LMSB4M22H7A","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_8","alias_value":"2L5T2LMS","created_at":"2026-06-30T02:17:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2L5T2LMSB4M22H7ADLVAQCB4SX","target":"record","payload":{"canonical_record":{"source":{"id":"2606.30242","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T12:52:47Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"5c0c1d8e2fdd1717141ba55a895281ee798ea19bc58bdc799aed6f348dc384cc","abstract_canon_sha256":"d2a70117cc02f1ddd0a782bee8811da9b5afa2212a6fc878ceec096136b8d1ec"},"schema_version":"1.0"},"canonical_sha256":"d2fb3d2d920f19ad1fe01aea08083c95d32090849bd83569720b6bd71be813d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:17:55.786253Z","signature_b64":"cPQFPfCOwXlzPJ/icor3soPnKVrW7RgmViQnsSYUUe0KneEuym0VPjd3XMmCIxjDsX9hy5mKOWkE90Y8TcafDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2fb3d2d920f19ad1fe01aea08083c95d32090849bd83569720b6bd71be813d0","last_reissued_at":"2026-06-30T02:17:55.785539Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:17:55.785539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.30242","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":"2026-06-30T02:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wAeIfsYu+0FRwEIXWxssLhuZqAuqSCtUKqj1vfjcKD7nrcVRUsH8LEcX5PIJ90vDwIPSPsNhsXujGl6hQHT1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:58:13.705020Z"},"content_sha256":"5999facab5907348bcc13833f6258dd4ed91ea75e99e13ac778bfc276a96b538","schema_version":"1.0","event_id":"sha256:5999facab5907348bcc13833f6258dd4ed91ea75e99e13ac778bfc276a96b538"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2L5T2LMSB4M22H7ADLVAQCB4SX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum percolation based dynamic propagation connectivity for critical-area identification in transport networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"quant-ph","authors_text":"Chence Niu, Divya Jayakumar Nair, Junxiang Xu, Tingting Zhang, Vinayak Dixit","submitted_at":"2026-06-29T12:52:47Z","abstract_excerpt":"Transport networks often lose functionality through gradual degradation in link operating conditions before topological disconnection occurs. Link-centred and binary percolation measures identify important facilities or connectivity failures, but they provide limited information on which spatial areas cause the largest loss of network-wide propagation capability. This paper develops a Dynamic Propagation Connectivity (DPC) metric based on quantum percolation for critical-area identification in transport networks. Time-varying link travel times are converted into continuous propagation strength"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30242","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/2606.30242/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":"2026-06-30T02:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gmb+vkrVZhPXeVcArxJu4UX0jfxpGOJfrI4qKdZ4wg0tpoWvMt0xjfL251qnpeznQA9+0+bPd5t9scpuYcqiBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:58:13.705405Z"},"content_sha256":"d0e6456150c70181b5276da4cacd9b255790f6d5840177e39fe8f646dc2216c8","schema_version":"1.0","event_id":"sha256:d0e6456150c70181b5276da4cacd9b255790f6d5840177e39fe8f646dc2216c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2L5T2LMSB4M22H7ADLVAQCB4SX/bundle.json","state_url":"https://pith.science/pith/2L5T2LMSB4M22H7ADLVAQCB4SX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2L5T2LMSB4M22H7ADLVAQCB4SX/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":"2026-06-30T15:58:13Z","links":{"resolver":"https://pith.science/pith/2L5T2LMSB4M22H7ADLVAQCB4SX","bundle":"https://pith.science/pith/2L5T2LMSB4M22H7ADLVAQCB4SX/bundle.json","state":"https://pith.science/pith/2L5T2LMSB4M22H7ADLVAQCB4SX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2L5T2LMSB4M22H7ADLVAQCB4SX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2L5T2LMSB4M22H7ADLVAQCB4SX","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":"d2a70117cc02f1ddd0a782bee8811da9b5afa2212a6fc878ceec096136b8d1ec","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T12:52:47Z","title_canon_sha256":"5c0c1d8e2fdd1717141ba55a895281ee798ea19bc58bdc799aed6f348dc384cc"},"schema_version":"1.0","source":{"id":"2606.30242","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30242","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30242v1","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30242","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"2L5T2LMSB4M2","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_16","alias_value":"2L5T2LMSB4M22H7A","created_at":"2026-06-30T02:17:55Z"},{"alias_kind":"pith_short_8","alias_value":"2L5T2LMS","created_at":"2026-06-30T02:17:55Z"}],"graph_snapshots":[{"event_id":"sha256:d0e6456150c70181b5276da4cacd9b255790f6d5840177e39fe8f646dc2216c8","target":"graph","created_at":"2026-06-30T02:17:55Z","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/2606.30242/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Transport networks often lose functionality through gradual degradation in link operating conditions before topological disconnection occurs. Link-centred and binary percolation measures identify important facilities or connectivity failures, but they provide limited information on which spatial areas cause the largest loss of network-wide propagation capability. This paper develops a Dynamic Propagation Connectivity (DPC) metric based on quantum percolation for critical-area identification in transport networks. Time-varying link travel times are converted into continuous propagation strength","authors_text":"Chence Niu, Divya Jayakumar Nair, Junxiang Xu, Tingting Zhang, Vinayak Dixit","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T12:52:47Z","title":"Quantum percolation based dynamic propagation connectivity for critical-area identification in transport networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30242","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":"sha256:5999facab5907348bcc13833f6258dd4ed91ea75e99e13ac778bfc276a96b538","target":"record","created_at":"2026-06-30T02:17:55Z","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":"d2a70117cc02f1ddd0a782bee8811da9b5afa2212a6fc878ceec096136b8d1ec","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-29T12:52:47Z","title_canon_sha256":"5c0c1d8e2fdd1717141ba55a895281ee798ea19bc58bdc799aed6f348dc384cc"},"schema_version":"1.0","source":{"id":"2606.30242","kind":"arxiv","version":1}},"canonical_sha256":"d2fb3d2d920f19ad1fe01aea08083c95d32090849bd83569720b6bd71be813d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2fb3d2d920f19ad1fe01aea08083c95d32090849bd83569720b6bd71be813d0","first_computed_at":"2026-06-30T02:17:55.785539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:17:55.785539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cPQFPfCOwXlzPJ/icor3soPnKVrW7RgmViQnsSYUUe0KneEuym0VPjd3XMmCIxjDsX9hy5mKOWkE90Y8TcafDQ==","signature_status":"signed_v1","signed_at":"2026-06-30T02:17:55.786253Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30242","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5999facab5907348bcc13833f6258dd4ed91ea75e99e13ac778bfc276a96b538","sha256:d0e6456150c70181b5276da4cacd9b255790f6d5840177e39fe8f646dc2216c8"],"state_sha256":"2d112a5882be4c43ae29f8158368eb2b48046cae047e4f7fb506f4926b45c14d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HcklJWmKWiBTGISqlyM7Nbr939rrSqdNN56P9CuuS7owh0NWs2YqiKLZrFCyps8w7VyhwD5iQAb0wy+Xi1yWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T15:58:13.707379Z","bundle_sha256":"c3d307118c2f40da979b58fc0a20d07043ffa0ca3b2316f38421af160ae7194a"}}