{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:3M3KD6PWODJUHGHPYAWUNXOWOU","short_pith_number":"pith:3M3KD6PW","canonical_record":{"source":{"id":"2607.12666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-14T11:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"a3d6ba22740b127af149e61bb09c8044f8de8444c58c83bb7be5446c0660aa9d","abstract_canon_sha256":"786ebacca5fc0cc9b1c0682a1fec0aeffe7eb703a2f566e553b4112c25ad9510"},"schema_version":"1.0"},"canonical_sha256":"db36a1f9f670d34398efc02d46ddd675361cf5805ac6924546f41a272f639d80","source":{"kind":"arxiv","id":"2607.12666","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.12666","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"2607.12666v1","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12666","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"3M3KD6PWODJU","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"3M3KD6PWODJUHGHP","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"3M3KD6PW","created_at":"2026-07-15T01:22:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:3M3KD6PWODJUHGHPYAWUNXOWOU","target":"record","payload":{"canonical_record":{"source":{"id":"2607.12666","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-14T11:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"a3d6ba22740b127af149e61bb09c8044f8de8444c58c83bb7be5446c0660aa9d","abstract_canon_sha256":"786ebacca5fc0cc9b1c0682a1fec0aeffe7eb703a2f566e553b4112c25ad9510"},"schema_version":"1.0"},"canonical_sha256":"db36a1f9f670d34398efc02d46ddd675361cf5805ac6924546f41a272f639d80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-15T01:22:11.051656Z","signature_b64":"hOc43jaJlGmoUSWOV0xLy3rFOYWXr0gCq6yr29RrEL11YH8GC64fGN2rlEGgaIJvwhHdVt7rxuHVDemkV5sNAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db36a1f9f670d34398efc02d46ddd675361cf5805ac6924546f41a272f639d80","last_reissued_at":"2026-07-15T01:22:11.050801Z","signature_status":"signed_v1","first_computed_at":"2026-07-15T01:22:11.050801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.12666","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":"2026-07-15T01:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yzzMihevW3P0kaUsXxw4nlofNoBnKUOzz1sWcQ+F/kYzu3vAnNE7QkZ3gpRpsNrS7OCXneLqPKlZZFcuMzgRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:32:04.225672Z"},"content_sha256":"259f4b4917c76a63769ae24859a09788f23effbe5cd9fe618267fe41447a9b96","schema_version":"1.0","event_id":"sha256:259f4b4917c76a63769ae24859a09788f23effbe5cd9fe618267fe41447a9b96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:3M3KD6PWODJUHGHPYAWUNXOWOU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sample-path Large deviations for Scheduled Arrival Processes with Unpunctuality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Michel Mandjes, Serena Della Corte","submitted_at":"2026-07-14T11:51:48Z","abstract_excerpt":"We study a scheduled-arrival process in which deterministic arrival times are perturbed by i.i.d. unpunctuality random variables. For the empirical mean of independent copies of the resulting counting process, we prove a sample-path large deviations principle on $D([0,T])$, equipped with the Skorokhod topology. As an application, we derive large deviation principles for the corresponding workload process under deterministic and random service setting. In the deterministic service case, we also identify the exponentially tilted arrival path associated with a rare workload overflow event."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12666","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/2607.12666/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":"2026-07-15T01:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/3q5xP0nbu1iRcHm/REHKhROcmNQOKv0VqndVhrZ4yG7/Or7PiWrAbqsr3UcdCDzhKpQ8WTpGLE3MbTvbQqLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:32:04.226203Z"},"content_sha256":"6c3964def5a486b4c3a8c2713cbf5c30570bc1bf0a9f8f483cc4d5cd870aa3c5","schema_version":"1.0","event_id":"sha256:6c3964def5a486b4c3a8c2713cbf5c30570bc1bf0a9f8f483cc4d5cd870aa3c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3M3KD6PWODJUHGHPYAWUNXOWOU/bundle.json","state_url":"https://pith.science/pith/3M3KD6PWODJUHGHPYAWUNXOWOU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3M3KD6PWODJUHGHPYAWUNXOWOU/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":"2026-08-03T18:32:04Z","links":{"resolver":"https://pith.science/pith/3M3KD6PWODJUHGHPYAWUNXOWOU","bundle":"https://pith.science/pith/3M3KD6PWODJUHGHPYAWUNXOWOU/bundle.json","state":"https://pith.science/pith/3M3KD6PWODJUHGHPYAWUNXOWOU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3M3KD6PWODJUHGHPYAWUNXOWOU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3M3KD6PWODJUHGHPYAWUNXOWOU","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":"786ebacca5fc0cc9b1c0682a1fec0aeffe7eb703a2f566e553b4112c25ad9510","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-14T11:51:48Z","title_canon_sha256":"a3d6ba22740b127af149e61bb09c8044f8de8444c58c83bb7be5446c0660aa9d"},"schema_version":"1.0","source":{"id":"2607.12666","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.12666","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"2607.12666v1","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12666","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"3M3KD6PWODJU","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"3M3KD6PWODJUHGHP","created_at":"2026-07-15T01:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"3M3KD6PW","created_at":"2026-07-15T01:22:11Z"}],"graph_snapshots":[{"event_id":"sha256:6c3964def5a486b4c3a8c2713cbf5c30570bc1bf0a9f8f483cc4d5cd870aa3c5","target":"graph","created_at":"2026-07-15T01:22:11Z","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/2607.12666/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a scheduled-arrival process in which deterministic arrival times are perturbed by i.i.d. unpunctuality random variables. For the empirical mean of independent copies of the resulting counting process, we prove a sample-path large deviations principle on $D([0,T])$, equipped with the Skorokhod topology. As an application, we derive large deviation principles for the corresponding workload process under deterministic and random service setting. In the deterministic service case, we also identify the exponentially tilted arrival path associated with a rare workload overflow event.","authors_text":"Michel Mandjes, Serena Della Corte","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-14T11:51:48Z","title":"Sample-path Large deviations for Scheduled Arrival Processes with Unpunctuality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12666","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":"sha256:259f4b4917c76a63769ae24859a09788f23effbe5cd9fe618267fe41447a9b96","target":"record","created_at":"2026-07-15T01:22:11Z","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":"786ebacca5fc0cc9b1c0682a1fec0aeffe7eb703a2f566e553b4112c25ad9510","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-14T11:51:48Z","title_canon_sha256":"a3d6ba22740b127af149e61bb09c8044f8de8444c58c83bb7be5446c0660aa9d"},"schema_version":"1.0","source":{"id":"2607.12666","kind":"arxiv","version":1}},"canonical_sha256":"db36a1f9f670d34398efc02d46ddd675361cf5805ac6924546f41a272f639d80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db36a1f9f670d34398efc02d46ddd675361cf5805ac6924546f41a272f639d80","first_computed_at":"2026-07-15T01:22:11.050801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-15T01:22:11.050801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hOc43jaJlGmoUSWOV0xLy3rFOYWXr0gCq6yr29RrEL11YH8GC64fGN2rlEGgaIJvwhHdVt7rxuHVDemkV5sNAg==","signature_status":"signed_v1","signed_at":"2026-07-15T01:22:11.051656Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.12666","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:259f4b4917c76a63769ae24859a09788f23effbe5cd9fe618267fe41447a9b96","sha256:6c3964def5a486b4c3a8c2713cbf5c30570bc1bf0a9f8f483cc4d5cd870aa3c5"],"state_sha256":"2342e3877c6cf39f0aed110b8d31a658a307b1a574ded7be8f877b7519bfe76b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MP+6GSuwKr8/3Zn5OOeXzAsDfsUPrbtSzOEEESI5gwhZrqO/b/uOytlfKnmue484RpovXXiAqPpSKP/6YfXYAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:32:04.231055Z","bundle_sha256":"5a8a4c5d939edf4fb01e7282069f89348b962eb0d2aa46da18013526a9c8af25"}}