{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2E4B3G5DDJCQWSQGHY4DWT6ZOS","short_pith_number":"pith:2E4B3G5D","canonical_record":{"source":{"id":"1010.6266","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2010-10-29T16:41:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ec208e94342c360eae0215073c6ac6085b9f6ecc47d2c22f8a8528e621365245","abstract_canon_sha256":"3464cc7f504eaad93b46763b12d717ccdd979ec0fb768b7cea1419000c467a14"},"schema_version":"1.0"},"canonical_sha256":"d1381d9ba31a450b4a063e383b4fd974a3222554dc684eb2c1dc660c56e71fb2","source":{"kind":"arxiv","id":"1010.6266","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.6266","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1010.6266v1","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.6266","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"2E4B3G5DDJCQ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2E4B3G5DDJCQWSQG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2E4B3G5D","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2E4B3G5DDJCQWSQGHY4DWT6ZOS","target":"record","payload":{"canonical_record":{"source":{"id":"1010.6266","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2010-10-29T16:41:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ec208e94342c360eae0215073c6ac6085b9f6ecc47d2c22f8a8528e621365245","abstract_canon_sha256":"3464cc7f504eaad93b46763b12d717ccdd979ec0fb768b7cea1419000c467a14"},"schema_version":"1.0"},"canonical_sha256":"d1381d9ba31a450b4a063e383b4fd974a3222554dc684eb2c1dc660c56e71fb2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:47.549388Z","signature_b64":"t4G/jhr5M5K64qV+XGMD4hRLcQRT4UygC90+DzSFdxMGv//yeh5kTZeZvpF1tqnUEPJXwabrglgmVppemvgFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1381d9ba31a450b4a063e383b4fd974a3222554dc684eb2c1dc660c56e71fb2","last_reissued_at":"2026-05-18T03:23:47.548599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:47.548599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.6266","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":"2026-05-18T03:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5pRtFed/K0jYJensX3kC/noCvjytGAxu0yqp8ewlnpyD24Hvh4f00WObseJFFF6hLaKXmVOHocTOJePAxPPzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T05:46:07.546081Z"},"content_sha256":"700b1f5d53d88d9a957afcc4ad84ad3085568a837ce2787d90cdd8220fd4890c","schema_version":"1.0","event_id":"sha256:700b1f5d53d88d9a957afcc4ad84ad3085568a837ce2787d90cdd8220fd4890c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2E4B3G5DDJCQWSQGHY4DWT6ZOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relaxation of spins due to a magnetic field gradient, revisited; Identity of the Redfield and Torrey theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.atom-ph","authors_text":"C.M. Swank, R. Golub, Ryan M. Rohm","submitted_at":"2010-10-29T16:41:12Z","abstract_excerpt":"There is an extensive literature on magnetic gradient induced spin relaxation. Cates, Schaefer and Happer (CSH) in a seminal paper, have solved the problem in the regime where diffusion theory (the Torrey equation is applicable using an expansion of the density matrix in diffusion equation eigenfunctions and angular momentum tensors. McGregor has solved the problem in the same regime using a slightly more general formulation using Redfield theory formulated in terms of the auto-correlation function of the fluctuating field seen by the spins and calculating the correlation functions using the d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.6266","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":"2026-05-18T03:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ega513mCo05XNLoarYDY4K95rSGcbZgcPN/grmSqsQ/eI34vOB/tEms+b9D+L5m9adElgPCLuHXSoXMhVuyVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T05:46:07.546450Z"},"content_sha256":"a73d9369b33f317bd7daf03e3228143485f5c3c807beec8a5882879273274d62","schema_version":"1.0","event_id":"sha256:a73d9369b33f317bd7daf03e3228143485f5c3c807beec8a5882879273274d62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2E4B3G5DDJCQWSQGHY4DWT6ZOS/bundle.json","state_url":"https://pith.science/pith/2E4B3G5DDJCQWSQGHY4DWT6ZOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2E4B3G5DDJCQWSQGHY4DWT6ZOS/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":"2026-07-07T05:46:07Z","links":{"resolver":"https://pith.science/pith/2E4B3G5DDJCQWSQGHY4DWT6ZOS","bundle":"https://pith.science/pith/2E4B3G5DDJCQWSQGHY4DWT6ZOS/bundle.json","state":"https://pith.science/pith/2E4B3G5DDJCQWSQGHY4DWT6ZOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2E4B3G5DDJCQWSQGHY4DWT6ZOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2E4B3G5DDJCQWSQGHY4DWT6ZOS","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":"3464cc7f504eaad93b46763b12d717ccdd979ec0fb768b7cea1419000c467a14","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2010-10-29T16:41:12Z","title_canon_sha256":"ec208e94342c360eae0215073c6ac6085b9f6ecc47d2c22f8a8528e621365245"},"schema_version":"1.0","source":{"id":"1010.6266","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.6266","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1010.6266v1","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.6266","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"2E4B3G5DDJCQ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2E4B3G5DDJCQWSQG","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2E4B3G5D","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:a73d9369b33f317bd7daf03e3228143485f5c3c807beec8a5882879273274d62","target":"graph","created_at":"2026-05-18T03:23:47Z","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":"There is an extensive literature on magnetic gradient induced spin relaxation. Cates, Schaefer and Happer (CSH) in a seminal paper, have solved the problem in the regime where diffusion theory (the Torrey equation is applicable using an expansion of the density matrix in diffusion equation eigenfunctions and angular momentum tensors. McGregor has solved the problem in the same regime using a slightly more general formulation using Redfield theory formulated in terms of the auto-correlation function of the fluctuating field seen by the spins and calculating the correlation functions using the d","authors_text":"C.M. Swank, R. Golub, Ryan M. Rohm","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2010-10-29T16:41:12Z","title":"Relaxation of spins due to a magnetic field gradient, revisited; Identity of the Redfield and Torrey theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.6266","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":"sha256:700b1f5d53d88d9a957afcc4ad84ad3085568a837ce2787d90cdd8220fd4890c","target":"record","created_at":"2026-05-18T03:23:47Z","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":"3464cc7f504eaad93b46763b12d717ccdd979ec0fb768b7cea1419000c467a14","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2010-10-29T16:41:12Z","title_canon_sha256":"ec208e94342c360eae0215073c6ac6085b9f6ecc47d2c22f8a8528e621365245"},"schema_version":"1.0","source":{"id":"1010.6266","kind":"arxiv","version":1}},"canonical_sha256":"d1381d9ba31a450b4a063e383b4fd974a3222554dc684eb2c1dc660c56e71fb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1381d9ba31a450b4a063e383b4fd974a3222554dc684eb2c1dc660c56e71fb2","first_computed_at":"2026-05-18T03:23:47.548599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:47.548599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t4G/jhr5M5K64qV+XGMD4hRLcQRT4UygC90+DzSFdxMGv//yeh5kTZeZvpF1tqnUEPJXwabrglgmVppemvgFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:47.549388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.6266","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:700b1f5d53d88d9a957afcc4ad84ad3085568a837ce2787d90cdd8220fd4890c","sha256:a73d9369b33f317bd7daf03e3228143485f5c3c807beec8a5882879273274d62"],"state_sha256":"9d4776cb6d4cdb3d902f14eb4d3533f3542eaec60c213041fbdc9c1615d6cb8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j+zlbbq8HFbL7aJspZrDbvAyOYPcSJkoeiNHUzCJIYtGP+RzFk8a2HmTT/4T9tWmrODbP03UyGtk3SOoNxzPDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T05:46:07.548668Z","bundle_sha256":"445a6f4a9e4e4f6cf8d02379df2a4998330572e6216bc8055c58fa75577149c9"}}