{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:55ITDNO7ZFPAIXAX2MMZQURXNH","short_pith_number":"pith:55ITDNO7","canonical_record":{"source":{"id":"1104.1714","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T15:46:34Z","cross_cats_sorted":[],"title_canon_sha256":"b1b66e4b64bb65be8091796432cc33c6bb7abd310afc33691c302959833fe7a2","abstract_canon_sha256":"aee57b257ef9edb8cd22837cae09639af0e59ca2af549ed964b65b24187fb343"},"schema_version":"1.0"},"canonical_sha256":"ef5131b5dfc95e045c17d31998523769ec96699031099127eaa6ea29588e6019","source":{"kind":"arxiv","id":"1104.1714","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1714","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1714v1","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1714","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"55ITDNO7ZFPA","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"55ITDNO7ZFPAIXAX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"55ITDNO7","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:55ITDNO7ZFPAIXAX2MMZQURXNH","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1714","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T15:46:34Z","cross_cats_sorted":[],"title_canon_sha256":"b1b66e4b64bb65be8091796432cc33c6bb7abd310afc33691c302959833fe7a2","abstract_canon_sha256":"aee57b257ef9edb8cd22837cae09639af0e59ca2af549ed964b65b24187fb343"},"schema_version":"1.0"},"canonical_sha256":"ef5131b5dfc95e045c17d31998523769ec96699031099127eaa6ea29588e6019","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:43.290679Z","signature_b64":"TXxa1NjaF2+1gOm7ke31vO0qmbmZxKGKPN+oXwHCGlVmKw++ixdrJINVHUmAUPgKIFxZWxjIfQSzznzVLBiaDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef5131b5dfc95e045c17d31998523769ec96699031099127eaa6ea29588e6019","last_reissued_at":"2026-05-18T04:24:43.290296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:43.290296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1714","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":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vEqRpEfSsaxC6AnyhSAgDUyUlKHgE/EeiIX9h78wz1K3G+vTcpqYEkmIWD5HAoJxZbMEhnBSzjakEnE1WfQuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:28:48.761705Z"},"content_sha256":"5e0580a47a201e08ac54421526d42fb2892e79dff754b53a64f56a797eef0ef7","schema_version":"1.0","event_id":"sha256:5e0580a47a201e08ac54421526d42fb2892e79dff754b53a64f56a797eef0ef7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:55ITDNO7ZFPAIXAX2MMZQURXNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherent Averaging: an Alternative to the Average Hamiltonian Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. K. Khitrin, Ayyalusamy Ramamoorthy, Jiadi Xu","submitted_at":"2011-04-09T15:46:34Z","abstract_excerpt":"Line-narrowing by periodic modulation of nuclear spin interaction Hamiltonians is the central element of various experimental techniques in NMR spectroscopy. In this study, we present a theoretical formulation of coherent averaging to calculate the heights of narrowed spectral peaks. This concept is experimentally demonstrated using proton spectra of solids obtained under fast magic-angle spinning."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1714","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":""},"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":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cuWGDNy1b44oUQtx59puxYy8FfBIsQ4Mj9JGOCwqLYXaY5FTZi1cics/PUJjtiDOx4Vv2IUddvKUIZWo0jdzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:28:48.762090Z"},"content_sha256":"5ef4872950c17f8ce4315f4ca91dede83ac38e737d425188eb1108a631fcc48b","schema_version":"1.0","event_id":"sha256:5ef4872950c17f8ce4315f4ca91dede83ac38e737d425188eb1108a631fcc48b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/55ITDNO7ZFPAIXAX2MMZQURXNH/bundle.json","state_url":"https://pith.science/pith/55ITDNO7ZFPAIXAX2MMZQURXNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/55ITDNO7ZFPAIXAX2MMZQURXNH/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":"2026-06-26T16:28:48Z","links":{"resolver":"https://pith.science/pith/55ITDNO7ZFPAIXAX2MMZQURXNH","bundle":"https://pith.science/pith/55ITDNO7ZFPAIXAX2MMZQURXNH/bundle.json","state":"https://pith.science/pith/55ITDNO7ZFPAIXAX2MMZQURXNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/55ITDNO7ZFPAIXAX2MMZQURXNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:55ITDNO7ZFPAIXAX2MMZQURXNH","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":"aee57b257ef9edb8cd22837cae09639af0e59ca2af549ed964b65b24187fb343","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T15:46:34Z","title_canon_sha256":"b1b66e4b64bb65be8091796432cc33c6bb7abd310afc33691c302959833fe7a2"},"schema_version":"1.0","source":{"id":"1104.1714","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1714","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1714v1","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1714","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"55ITDNO7ZFPA","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"55ITDNO7ZFPAIXAX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"55ITDNO7","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:5ef4872950c17f8ce4315f4ca91dede83ac38e737d425188eb1108a631fcc48b","target":"graph","created_at":"2026-05-18T04:24:43Z","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"},"paper":{"abstract_excerpt":"Line-narrowing by periodic modulation of nuclear spin interaction Hamiltonians is the central element of various experimental techniques in NMR spectroscopy. In this study, we present a theoretical formulation of coherent averaging to calculate the heights of narrowed spectral peaks. This concept is experimentally demonstrated using proton spectra of solids obtained under fast magic-angle spinning.","authors_text":"A. K. Khitrin, Ayyalusamy Ramamoorthy, Jiadi Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T15:46:34Z","title":"Coherent Averaging: an Alternative to the Average Hamiltonian Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1714","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":"sha256:5e0580a47a201e08ac54421526d42fb2892e79dff754b53a64f56a797eef0ef7","target":"record","created_at":"2026-05-18T04:24:43Z","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":"aee57b257ef9edb8cd22837cae09639af0e59ca2af549ed964b65b24187fb343","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-04-09T15:46:34Z","title_canon_sha256":"b1b66e4b64bb65be8091796432cc33c6bb7abd310afc33691c302959833fe7a2"},"schema_version":"1.0","source":{"id":"1104.1714","kind":"arxiv","version":1}},"canonical_sha256":"ef5131b5dfc95e045c17d31998523769ec96699031099127eaa6ea29588e6019","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef5131b5dfc95e045c17d31998523769ec96699031099127eaa6ea29588e6019","first_computed_at":"2026-05-18T04:24:43.290296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:43.290296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TXxa1NjaF2+1gOm7ke31vO0qmbmZxKGKPN+oXwHCGlVmKw++ixdrJINVHUmAUPgKIFxZWxjIfQSzznzVLBiaDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:43.290679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1714","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e0580a47a201e08ac54421526d42fb2892e79dff754b53a64f56a797eef0ef7","sha256:5ef4872950c17f8ce4315f4ca91dede83ac38e737d425188eb1108a631fcc48b"],"state_sha256":"0c51036df79ef5f8a41e327585913244f429de2208ab8742f5d5325adc51fa7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wOrlnT4dKrkTdn6fQbPEhaz/BuUNNs6h8PnbrCVV0iCCAZiBkBjBDsQKVohdJyZH+8QhNilA/84XnLOAbnlMDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T16:28:48.764056Z","bundle_sha256":"5a8a5d0e58ee3ba072da041b03786170b5028d62751e85886998c582c01c9b7f"}}