{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5MY5UFCW5LBM26PSKTF3GNTT2X","short_pith_number":"pith:5MY5UFCW","canonical_record":{"source":{"id":"2505.13207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-19T14:57:39Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech"],"title_canon_sha256":"dcf25b14170a200eaabe5728a87c4b3e38db6abc7c8789ca7f50d8f21d5c0ed0","abstract_canon_sha256":"f42f97d480b32565a8db8b890d2b553514396f1a6d249bb3692ad65a623566cd"},"schema_version":"1.0"},"canonical_sha256":"eb31da1456eac2cd79f254cbb33673d5f141257307cdcbfbe63cb0ba690b3b3d","source":{"kind":"arxiv","id":"2505.13207","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.13207","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"2505.13207v1","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13207","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"5MY5UFCW5LBM","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"pith_short_16","alias_value":"5MY5UFCW5LBM26PS","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"pith_short_8","alias_value":"5MY5UFCW","created_at":"2026-07-05T11:05:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5MY5UFCW5LBM26PSKTF3GNTT2X","target":"record","payload":{"canonical_record":{"source":{"id":"2505.13207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-19T14:57:39Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech"],"title_canon_sha256":"dcf25b14170a200eaabe5728a87c4b3e38db6abc7c8789ca7f50d8f21d5c0ed0","abstract_canon_sha256":"f42f97d480b32565a8db8b890d2b553514396f1a6d249bb3692ad65a623566cd"},"schema_version":"1.0"},"canonical_sha256":"eb31da1456eac2cd79f254cbb33673d5f141257307cdcbfbe63cb0ba690b3b3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:05:26.653470Z","signature_b64":"CCZvaGWkB5m+pLWWKu/nWSpFEjnZYL1eBK17bsSDU9wQAVfl3/dnrEz2JZEvIOOwQSj1LNSbjaAmnbNraMJlBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb31da1456eac2cd79f254cbb33673d5f141257307cdcbfbe63cb0ba690b3b3d","last_reissued_at":"2026-07-05T11:05:26.652976Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:05:26.652976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.13207","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":"2026-07-05T11:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zGWeC+i/zPGJrU+iAc1l0j4I8w4z/KCPORHhyF+pFl5yrKcBTSDfgNfcbVO359bsrwTTSlguX2bmy+YUi7GhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:54:53.962301Z"},"content_sha256":"9bb01d6be14b14cbb15558d8ec97e847fde0980b76f0aa3ffa915f2b63d5b726","schema_version":"1.0","event_id":"sha256:9bb01d6be14b14cbb15558d8ec97e847fde0980b76f0aa3ffa915f2b63d5b726"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5MY5UFCW5LBM26PSKTF3GNTT2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Time Crystals in the spin-s Central Spin Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Hillol Biswas, Sayan Choudhury","submitted_at":"2025-05-19T14:57:39Z","abstract_excerpt":"We propose periodic driving protocols to realize discrete time crystals (DTCs) in a spin-s central spin model. Interestingly, we identify parameter regimes, where eternal period-doubling and higher-order(HO)-DTCs can be realized, even for finite-sized systems. We have determined the dependence of the DTC order on the number of satellite spins and the central spin value, s. Intriguingly, we find that certain classes of HO-DTCs produce a series of maximally entangled Bell cat and super-cat states during their dynamical evolution. Finally, we demonstrate that the HO-DTCs can be employed for quant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13207","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/2505.13207/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":"2026-07-05T11:05:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MRZ63DgiAVV1U+3bgT5RZLimu8CMBjQCAXfmn40JNSZP0ynXmwtatHkGoparsSF5ZnctZ4e/JNw7mrYp1u5zAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:54:53.962989Z"},"content_sha256":"bac8cfad961b6eb421bfb72cb81a4df890a88fabdc6f0ec79eab5356891e711d","schema_version":"1.0","event_id":"sha256:bac8cfad961b6eb421bfb72cb81a4df890a88fabdc6f0ec79eab5356891e711d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MY5UFCW5LBM26PSKTF3GNTT2X/bundle.json","state_url":"https://pith.science/pith/5MY5UFCW5LBM26PSKTF3GNTT2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MY5UFCW5LBM26PSKTF3GNTT2X/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":"2026-08-11T14:54:53Z","links":{"resolver":"https://pith.science/pith/5MY5UFCW5LBM26PSKTF3GNTT2X","bundle":"https://pith.science/pith/5MY5UFCW5LBM26PSKTF3GNTT2X/bundle.json","state":"https://pith.science/pith/5MY5UFCW5LBM26PSKTF3GNTT2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MY5UFCW5LBM26PSKTF3GNTT2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5MY5UFCW5LBM26PSKTF3GNTT2X","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":"f42f97d480b32565a8db8b890d2b553514396f1a6d249bb3692ad65a623566cd","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-19T14:57:39Z","title_canon_sha256":"dcf25b14170a200eaabe5728a87c4b3e38db6abc7c8789ca7f50d8f21d5c0ed0"},"schema_version":"1.0","source":{"id":"2505.13207","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.13207","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"arxiv_version","alias_value":"2505.13207v1","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13207","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"pith_short_12","alias_value":"5MY5UFCW5LBM","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"pith_short_16","alias_value":"5MY5UFCW5LBM26PS","created_at":"2026-07-05T11:05:26Z"},{"alias_kind":"pith_short_8","alias_value":"5MY5UFCW","created_at":"2026-07-05T11:05:26Z"}],"graph_snapshots":[{"event_id":"sha256:bac8cfad961b6eb421bfb72cb81a4df890a88fabdc6f0ec79eab5356891e711d","target":"graph","created_at":"2026-07-05T11:05:26Z","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/2505.13207/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose periodic driving protocols to realize discrete time crystals (DTCs) in a spin-s central spin model. Interestingly, we identify parameter regimes, where eternal period-doubling and higher-order(HO)-DTCs can be realized, even for finite-sized systems. We have determined the dependence of the DTC order on the number of satellite spins and the central spin value, s. Intriguingly, we find that certain classes of HO-DTCs produce a series of maximally entangled Bell cat and super-cat states during their dynamical evolution. Finally, we demonstrate that the HO-DTCs can be employed for quant","authors_text":"Hillol Biswas, Sayan Choudhury","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-19T14:57:39Z","title":"Discrete Time Crystals in the spin-s Central Spin Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13207","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":"sha256:9bb01d6be14b14cbb15558d8ec97e847fde0980b76f0aa3ffa915f2b63d5b726","target":"record","created_at":"2026-07-05T11:05:26Z","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":"f42f97d480b32565a8db8b890d2b553514396f1a6d249bb3692ad65a623566cd","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-19T14:57:39Z","title_canon_sha256":"dcf25b14170a200eaabe5728a87c4b3e38db6abc7c8789ca7f50d8f21d5c0ed0"},"schema_version":"1.0","source":{"id":"2505.13207","kind":"arxiv","version":1}},"canonical_sha256":"eb31da1456eac2cd79f254cbb33673d5f141257307cdcbfbe63cb0ba690b3b3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb31da1456eac2cd79f254cbb33673d5f141257307cdcbfbe63cb0ba690b3b3d","first_computed_at":"2026-07-05T11:05:26.652976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:26.652976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CCZvaGWkB5m+pLWWKu/nWSpFEjnZYL1eBK17bsSDU9wQAVfl3/dnrEz2JZEvIOOwQSj1LNSbjaAmnbNraMJlBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:26.653470Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.13207","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bb01d6be14b14cbb15558d8ec97e847fde0980b76f0aa3ffa915f2b63d5b726","sha256:bac8cfad961b6eb421bfb72cb81a4df890a88fabdc6f0ec79eab5356891e711d"],"state_sha256":"4fef65f04d90bb2760238e5db567d1ec5bb71f30e171b6f1206d667acfeb6b56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eyOzbHInJlntnU5ZgkefPY1d7FJnUunWKuJeAv38Z7BvwHOHAL3AvoFB+JTeX58+MhAO2+E2UvpPo/+gMWLADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T14:54:53.970857Z","bundle_sha256":"ae0107c7ca6e9bdbc2151628de25fac3a95b78c3ab0ae7e1a24b78a00cffabfc"}}