{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VAYJ2VZILXXZU3FLKDKQMSDB4N","short_pith_number":"pith:VAYJ2VZI","schema_version":"1.0","canonical_sha256":"a8309d57285def9a6cab50d5064861e37b51d731bbfcf71baf0de027c9aa058a","source":{"kind":"arxiv","id":"1801.07970","version":2},"attestation_state":"computed","paper":{"title":"Cosmological Time Crystal: Cyclic Universe with a small $\\Lambda$ in a toy model approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Praloy Das, Probir Pal, Subir Ghosh, Supriya Pan","submitted_at":"2018-01-24T12:59:41Z","abstract_excerpt":"A new form Time Crystal has been proposed and some of its consequences have been studied. The model is a generalization of the Friedmann-Robertson-Walker (FRW) cosmology endowed with noncommutative geometry corrections. In the mini-superspace approach the scale factor undergoes the time periodic behavior, or Sisyphus dynamics, which allows us to interpret this Cosmological Time Crystal as a physically motivated toy model to simulate cyclic universe. \nAnalyzing our model purely from Time Crystal perspective reveals many novelties such as a complex singularity structure (more complicated than th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1801.07970","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-24T12:59:41Z","cross_cats_sorted":["gr-qc","quant-ph"],"title_canon_sha256":"99f8c59ce16565d5db323006535cd6abf8cbdc79f8f45cdfe0e47a079570a4a1","abstract_canon_sha256":"8059bad87f3808123bbcac7000fff309287cda05337de385edd06a9f78f332f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:06.385768Z","signature_b64":"0XlVTeMUWlThkB2xQuFircCl7KQ4t/avL4+5Xx7pBd9aJQRPWe2q8Ji05uc+AJSL4G7+VdX5An2Cm88uZTVJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8309d57285def9a6cab50d5064861e37b51d731bbfcf71baf0de027c9aa058a","last_reissued_at":"2026-05-18T00:11:06.385044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:06.385044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological Time Crystal: Cyclic Universe with a small $\\Lambda$ in a toy model approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Praloy Das, Probir Pal, Subir Ghosh, Supriya Pan","submitted_at":"2018-01-24T12:59:41Z","abstract_excerpt":"A new form Time Crystal has been proposed and some of its consequences have been studied. The model is a generalization of the Friedmann-Robertson-Walker (FRW) cosmology endowed with noncommutative geometry corrections. In the mini-superspace approach the scale factor undergoes the time periodic behavior, or Sisyphus dynamics, which allows us to interpret this Cosmological Time Crystal as a physically motivated toy model to simulate cyclic universe. \nAnalyzing our model purely from Time Crystal perspective reveals many novelties such as a complex singularity structure (more complicated than th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07970","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1801.07970","created_at":"2026-05-18T00:11:06.385210+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.07970v2","created_at":"2026-05-18T00:11:06.385210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07970","created_at":"2026-05-18T00:11:06.385210+00:00"},{"alias_kind":"pith_short_12","alias_value":"VAYJ2VZILXXZ","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"VAYJ2VZILXXZU3FL","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"VAYJ2VZI","created_at":"2026-05-18T12:32:59.047623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N","json":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N.json","graph_json":"https://pith.science/api/pith-number/VAYJ2VZILXXZU3FLKDKQMSDB4N/graph.json","events_json":"https://pith.science/api/pith-number/VAYJ2VZILXXZU3FLKDKQMSDB4N/events.json","paper":"https://pith.science/paper/VAYJ2VZI"},"agent_actions":{"view_html":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N","download_json":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N.json","view_paper":"https://pith.science/paper/VAYJ2VZI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.07970&json=true","fetch_graph":"https://pith.science/api/pith-number/VAYJ2VZILXXZU3FLKDKQMSDB4N/graph.json","fetch_events":"https://pith.science/api/pith-number/VAYJ2VZILXXZU3FLKDKQMSDB4N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N/action/storage_attestation","attest_author":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N/action/author_attestation","sign_citation":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N/action/citation_signature","submit_replication":"https://pith.science/pith/VAYJ2VZILXXZU3FLKDKQMSDB4N/action/replication_record"}},"created_at":"2026-05-18T00:11:06.385210+00:00","updated_at":"2026-05-18T00:11:06.385210+00:00"}