{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:72BPNTUB7BHVULOLQ2PZMTMOO2","short_pith_number":"pith:72BPNTUB","canonical_record":{"source":{"id":"2008.08075","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-08-18T17:56:52Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e0a5a7561e51fd13e004993b866c4edabe7ff9170db3f655dcf7c79e97f22539","abstract_canon_sha256":"46cef32d1bad4d73e2ee79c008c17b468bfde30482fe0e0ae21e2c7be80922ce"},"schema_version":"1.0"},"canonical_sha256":"fe82f6ce81f84f5a2dcb869f964d8e76812f70b1b430d5b970068c1e1c2982cd","source":{"kind":"arxiv","id":"2008.08075","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.08075","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"2008.08075v1","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.08075","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"72BPNTUB7BHV","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"pith_short_16","alias_value":"72BPNTUB7BHVULOL","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"pith_short_8","alias_value":"72BPNTUB","created_at":"2026-07-05T01:27:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:72BPNTUB7BHVULOLQ2PZMTMOO2","target":"record","payload":{"canonical_record":{"source":{"id":"2008.08075","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-08-18T17:56:52Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e0a5a7561e51fd13e004993b866c4edabe7ff9170db3f655dcf7c79e97f22539","abstract_canon_sha256":"46cef32d1bad4d73e2ee79c008c17b468bfde30482fe0e0ae21e2c7be80922ce"},"schema_version":"1.0"},"canonical_sha256":"fe82f6ce81f84f5a2dcb869f964d8e76812f70b1b430d5b970068c1e1c2982cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:27:58.662048Z","signature_b64":"+nfwmFdjfrjXsz6qgRDp6IU1trUweA8d/aSDm2zyTXxGXK4vdi0R1fLFTHdvbuUsDhd+XPOsQ1Khjo6pZuqNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe82f6ce81f84f5a2dcb869f964d8e76812f70b1b430d5b970068c1e1c2982cd","last_reissued_at":"2026-07-05T01:27:58.661666Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:27:58.661666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.08075","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":"2026-07-05T01:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eReY0K9VdOXBVunF6tcoB0VxDJ7CF0fHEC09YbuvAqyFJRNYNlkreD0r3KMEsDWmvkC1OVi/vg/Nk4U4lE/vDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T17:28:49.957170Z"},"content_sha256":"822152aeca934af57a3f5d09df1d1e072e768b05fe7d2f5995e6658cfc0e2fa7","schema_version":"1.0","event_id":"sha256:822152aeca934af57a3f5d09df1d1e072e768b05fe7d2f5995e6658cfc0e2fa7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:72BPNTUB7BHVULOLQ2PZMTMOO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correspondence between dissipative phase transitions of light and time crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Adam Miranowicz, Fabrizio Minganti, Franco Nori, Ievgen I. Arkhipov","submitted_at":"2020-08-18T17:56:52Z","abstract_excerpt":"We predict the emergence of a time crystal generated by an incoherently driven and dissipative nonlinear optical oscillator, where the nonlinearity also comes from dissipation. We show that a second-order dissipative phase transition of light occurs in the frame rotating at the cavity frequency, while a boundary (dissipative) time crystal emerges in the laboratory frame. We relate these two phenomena by using the Liouvillian superoperator associated with the Lindblad master equation and its symmetries. These results connect the emergence of a second-order dissipative phase transition and a dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.08075","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/2008.08075/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":"2026-07-05T01:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z/AbcnhUxMZChT4oHByLG3sB26c3v8GO6oJa3omV21sgZFudQ2Kf2dIYULGHdjoDVmAOxuvdvSJYClspRvhKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T17:28:49.957758Z"},"content_sha256":"43a1208c6b52c5855af8017c07f9d9cb1fb76f68f5c6ffb57fcd83def1fb5e90","schema_version":"1.0","event_id":"sha256:43a1208c6b52c5855af8017c07f9d9cb1fb76f68f5c6ffb57fcd83def1fb5e90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/72BPNTUB7BHVULOLQ2PZMTMOO2/bundle.json","state_url":"https://pith.science/pith/72BPNTUB7BHVULOLQ2PZMTMOO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/72BPNTUB7BHVULOLQ2PZMTMOO2/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":"2026-08-20T17:28:49Z","links":{"resolver":"https://pith.science/pith/72BPNTUB7BHVULOLQ2PZMTMOO2","bundle":"https://pith.science/pith/72BPNTUB7BHVULOLQ2PZMTMOO2/bundle.json","state":"https://pith.science/pith/72BPNTUB7BHVULOLQ2PZMTMOO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/72BPNTUB7BHVULOLQ2PZMTMOO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:72BPNTUB7BHVULOLQ2PZMTMOO2","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":"46cef32d1bad4d73e2ee79c008c17b468bfde30482fe0e0ae21e2c7be80922ce","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-08-18T17:56:52Z","title_canon_sha256":"e0a5a7561e51fd13e004993b866c4edabe7ff9170db3f655dcf7c79e97f22539"},"schema_version":"1.0","source":{"id":"2008.08075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.08075","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"2008.08075v1","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.08075","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"72BPNTUB7BHV","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"pith_short_16","alias_value":"72BPNTUB7BHVULOL","created_at":"2026-07-05T01:27:58Z"},{"alias_kind":"pith_short_8","alias_value":"72BPNTUB","created_at":"2026-07-05T01:27:58Z"}],"graph_snapshots":[{"event_id":"sha256:43a1208c6b52c5855af8017c07f9d9cb1fb76f68f5c6ffb57fcd83def1fb5e90","target":"graph","created_at":"2026-07-05T01:27:58Z","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/2008.08075/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We predict the emergence of a time crystal generated by an incoherently driven and dissipative nonlinear optical oscillator, where the nonlinearity also comes from dissipation. We show that a second-order dissipative phase transition of light occurs in the frame rotating at the cavity frequency, while a boundary (dissipative) time crystal emerges in the laboratory frame. We relate these two phenomena by using the Liouvillian superoperator associated with the Lindblad master equation and its symmetries. These results connect the emergence of a second-order dissipative phase transition and a dis","authors_text":"Adam Miranowicz, Fabrizio Minganti, Franco Nori, Ievgen I. Arkhipov","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-08-18T17:56:52Z","title":"Correspondence between dissipative phase transitions of light and time crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.08075","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":"sha256:822152aeca934af57a3f5d09df1d1e072e768b05fe7d2f5995e6658cfc0e2fa7","target":"record","created_at":"2026-07-05T01:27:58Z","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":"46cef32d1bad4d73e2ee79c008c17b468bfde30482fe0e0ae21e2c7be80922ce","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-08-18T17:56:52Z","title_canon_sha256":"e0a5a7561e51fd13e004993b866c4edabe7ff9170db3f655dcf7c79e97f22539"},"schema_version":"1.0","source":{"id":"2008.08075","kind":"arxiv","version":1}},"canonical_sha256":"fe82f6ce81f84f5a2dcb869f964d8e76812f70b1b430d5b970068c1e1c2982cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe82f6ce81f84f5a2dcb869f964d8e76812f70b1b430d5b970068c1e1c2982cd","first_computed_at":"2026-07-05T01:27:58.661666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:27:58.661666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+nfwmFdjfrjXsz6qgRDp6IU1trUweA8d/aSDm2zyTXxGXK4vdi0R1fLFTHdvbuUsDhd+XPOsQ1Khjo6pZuqNAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:27:58.662048Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.08075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:822152aeca934af57a3f5d09df1d1e072e768b05fe7d2f5995e6658cfc0e2fa7","sha256:43a1208c6b52c5855af8017c07f9d9cb1fb76f68f5c6ffb57fcd83def1fb5e90"],"state_sha256":"a85a9951d7c17fe6768610bf5fd4f924404b92917a0835b8ce085b90c55ed476"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twQWC3BMVJ8SOHc/HFlSbbC7z5rw82RidUWTqKL+PvjJErXPoDmCzsZNPuVs01jWxMfBAqbjmZZ27+Eyrg92BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T17:28:49.962582Z","bundle_sha256":"d4216dfa5536b187f0b7f36ea99c554df130ae67ea4f2c245a7e5a6b41114358"}}